Results in Mathematics, ISSN 1422-6383, 3/2019, Volume 74, Issue 1, pp. 1 - 19

This paper studies a class of singular differential equations $$\begin{aligned} -\left( \frac{\mathrm {d}}{{\mathrm {d}}x}-\frac{k}{x^{l}}-v\right) \left(...

Primary 34B09 | Singular boundary value problem | 34C10 | Secondary 34L40 | oscillation | Mathematics, general | 34B30 | Mathematics | continuous dependence | prüfer angle | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | P-LAPLACIAN | prufer angle | SCHRODINGER-OPERATORS

Primary 34B09 | Singular boundary value problem | 34C10 | Secondary 34L40 | oscillation | Mathematics, general | 34B30 | Mathematics | continuous dependence | prüfer angle | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | P-LAPLACIAN | prufer angle | SCHRODINGER-OPERATORS

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 8/2014, Volume 329, Issue 3, pp. 893 - 918

We introduce a generalized isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation. Utilizing the solution of the...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | MULTIPEAKON SOLUTIONS | BREAKING | INVERSE SCATTERING | MATRICES | DISSIPATIVE SOLUTIONS | KORTEWEG-DE-VRIES | WEAK SOLUTIONS | PHYSICS, MATHEMATICAL | SHALLOW-WATER EQUATION | OPERATORS | HIERARCHY | Computer science

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | MULTIPEAKON SOLUTIONS | BREAKING | INVERSE SCATTERING | MATRICES | DISSIPATIVE SOLUTIONS | KORTEWEG-DE-VRIES | WEAK SOLUTIONS | PHYSICS, MATHEMATICAL | SHALLOW-WATER EQUATION | OPERATORS | HIERARCHY | Computer science

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 10/2018, Volume 90, Issue 5, pp. 1 - 24

Norm resolvent approximation for a wide class of point interactions in one dimension is constructed. To analyse the limit behaviour of Schrödinger operators...

Primary 34L40 | Scattering problem | Finite rank perturbation | Secondary 81Q10 | Analysis | 1D Schrödinger operator | Solvable model | delta '$$ δ ′ -Interaction | delta '$$ δ ′ -Potential | Mathematics | Point interaction | 34B09 | Interaction | Potential | 1D Schrodinger operator | MATHEMATICS | APPROXIMATIONS | DELTA | delta '-Potential | COUPLINGS | delta '-Interaction

Primary 34L40 | Scattering problem | Finite rank perturbation | Secondary 81Q10 | Analysis | 1D Schrödinger operator | Solvable model | delta '$$ δ ′ -Interaction | delta '$$ δ ′ -Potential | Mathematics | Point interaction | 34B09 | Interaction | Potential | 1D Schrodinger operator | MATHEMATICS | APPROXIMATIONS | DELTA | delta '-Potential | COUPLINGS | delta '-Interaction

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 11/2019, Volume 13, Issue 8, pp. 3675 - 3693

In this paper we consider a spectral problem for ordinary differential equations of fourth order with spectral parameter in the boundary conditions. This...

Bending vibrations of a rod | Primary 34B05 | Eigenfunction | 34L15 | Mathematics | 47A75 | 47B50 | Unconditional basis | 34L10 | Secondary 34B09 | 34B08 | Operator Theory | 74H45 | Analysis | Mathematics, general | Simple eigenvalue | Oscillatory properties of eigenfunctions | SYSTEM | MATHEMATICS, APPLIED | BASIS PROPERTY | ROOT FUNCTIONS | EIGENFUNCTIONS | MATHEMATICS | STURM-LIOUVILLE PROBLEM | EIGENVALUE PARAMETER | Models | Vibration

Bending vibrations of a rod | Primary 34B05 | Eigenfunction | 34L15 | Mathematics | 47A75 | 47B50 | Unconditional basis | 34L10 | Secondary 34B09 | 34B08 | Operator Theory | 74H45 | Analysis | Mathematics, general | Simple eigenvalue | Oscillatory properties of eigenfunctions | SYSTEM | MATHEMATICS, APPLIED | BASIS PROPERTY | ROOT FUNCTIONS | EIGENFUNCTIONS | MATHEMATICS | STURM-LIOUVILLE PROBLEM | EIGENVALUE PARAMETER | Models | Vibration

Journal Article

Results in Mathematics, ISSN 1422-6383, 6/2018, Volume 73, Issue 2, pp. 1 - 11

The inverse source problem for one-dimensional heat equation is investigated with nonlocal Wentzell–Neumann boundary and integral overdetermination conditions....

generalized Fourier method | Heat equation | Primary 35R30 | Mathematics, general | 35K05 | Mathematics | initial-boundary value problem | inverse source problem | Wentzell–Neumann boundary condition | 34B09 | Secondary 35K20 | MATHEMATICS | MATHEMATICS, APPLIED | DEPENDENT SOURCE PROBLEM | STABILITY | DIFFUSION | PARABOLIC PROBLEMS | Wentzell-Neumann boundary condition | PARAMETER

generalized Fourier method | Heat equation | Primary 35R30 | Mathematics, general | 35K05 | Mathematics | initial-boundary value problem | inverse source problem | Wentzell–Neumann boundary condition | 34B09 | Secondary 35K20 | MATHEMATICS | MATHEMATICS, APPLIED | DEPENDENT SOURCE PROBLEM | STABILITY | DIFFUSION | PARABOLIC PROBLEMS | Wentzell-Neumann boundary condition | PARAMETER

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 04/2017, Volume 67, Issue 2, pp. 447 - 466

In the paper, we investigate a class of four-point integral boundary value problems for the nonlinear coupled system involving higher-order Caputo fractional...

positive solutions | Primary 34B09 | 34B10 | coupled fractional differential system | Riemann-Stieltjes integral BVPs | Secondary 34B15 | fixed point theorem | 34B18 | Fixed point theorem | Positive solutions | Coupled fractional differential system | MATHEMATICS | BOUNDARY-VALUE-PROBLEMS | EQUATIONS | Fixed point theory | Boundary value problems | Research | Mathematical research | Boundary conditions

positive solutions | Primary 34B09 | 34B10 | coupled fractional differential system | Riemann-Stieltjes integral BVPs | Secondary 34B15 | fixed point theorem | 34B18 | Fixed point theorem | Positive solutions | Coupled fractional differential system | MATHEMATICS | BOUNDARY-VALUE-PROBLEMS | EQUATIONS | Fixed point theory | Boundary value problems | Research | Mathematical research | Boundary conditions

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 2015, Volume 81, Issue 4, pp. 581 - 599

In V. Barcilon (J Math Anal Appl 93: 222-234, 1983) two boundary value problems were considered generated by the differential equation of a string y '' +...

Secondary 34B09 | Primary 34A55 | 34L20 | MATHEMATICS | Spectral function | regular string | Krein's string | Neumann boundary condition | singular string | Dirichlet boundary condition | EQUATION | Specific gravity

Secondary 34B09 | Primary 34A55 | 34L20 | MATHEMATICS | Spectral function | regular string | Krein's string | Neumann boundary condition | singular string | Dirichlet boundary condition | EQUATION | Specific gravity

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2012, Volume 45, Issue 36, pp. 365205 - 1-365205-14

We investigate the spectral zeta function of fractal differential operators such as the Laplacian on the unbounded (i.e. infinite) Sierpinski gasket and a...

WEYL-BERRY CONJECTURE | COMPLEX DYNAMICS | PHYSICS, MULTIDISCIPLINARY | DRUM | HOLOMORPHIC DYNAMICS | SIMILAR SETS | PHYSICS, MATHEMATICAL | DENSITY-OF-STATES | SYMMETRIC FRACTALS | HIGHER DIMENSION | OPERATORS | Functions (mathematics) | Operators | Mathematical analysis | Fractal analysis | Fractals | Polynomials | Spectra | Factorization | Self-similarity

WEYL-BERRY CONJECTURE | COMPLEX DYNAMICS | PHYSICS, MULTIDISCIPLINARY | DRUM | HOLOMORPHIC DYNAMICS | SIMILAR SETS | PHYSICS, MATHEMATICAL | DENSITY-OF-STATES | SYMMETRIC FRACTALS | HIGHER DIMENSION | OPERATORS | Functions (mathematics) | Operators | Mathematical analysis | Fractal analysis | Fractals | Polynomials | Spectra | Factorization | Self-similarity

Journal Article

Ricerche di Matematica, ISSN 0035-5038, 6/2016, Volume 65, Issue 1, pp. 155 - 161

For a real potential belonging to a proper subspace of the set of integrable functions, we provide a new upper bound of the number of negative eigenvalues of a...

35J40 | 34L15 | Probability Theory and Stochastic Processes | Mathematics | 47A75 | 47A10 | Algebra | Smooth manifold | Negative eigenvalues | Mathematics, general | 35R06 | CLR-type inequality | Primary 34B09 | 58D10 | 34L25 | 57R40 | 47A40 | Geometry | 35P15 | Analysis | Numerical Analysis | 34L05 | Secondary 47A07 | 35R15 | Embedded theorem | Equality

35J40 | 34L15 | Probability Theory and Stochastic Processes | Mathematics | 47A75 | 47A10 | Algebra | Smooth manifold | Negative eigenvalues | Mathematics, general | 35R06 | CLR-type inequality | Primary 34B09 | 58D10 | 34L25 | 57R40 | 47A40 | Geometry | 35P15 | Analysis | Numerical Analysis | 34L05 | Secondary 47A07 | 35R15 | Embedded theorem | Equality

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 12/2013, Volume 77, Issue 4, pp. 533 - 557

We consider a regular indefinite Sturm–Liouville eigenvalue problem −f′′ + q f = λ r f on [a, b] subject to general self-adjoint boundary conditions and with a...

Primary 34B09 | Secondary 34B24 | 26D10 | HELP inequality | Analysis | regular critical point | Mathematics | Indefinite Sturm–Liouville problem | 47B50 | 34L10 | Riesz basis | Indefinite Sturm-Liouville problem | MATHEMATICS | LITTLEWOOD | SIMILARITY PROBLEM | HARDY | OPERATORS

Primary 34B09 | Secondary 34B24 | 26D10 | HELP inequality | Analysis | regular critical point | Mathematics | Indefinite Sturm–Liouville problem | 47B50 | 34L10 | Riesz basis | Indefinite Sturm-Liouville problem | MATHEMATICS | LITTLEWOOD | SIMILARITY PROBLEM | HARDY | OPERATORS

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2009, Volume 246, Issue 3, pp. 964 - 997

Sufficient conditions for the similarity of the operator A : = 1 r ( x ) ( − d 2 d x 2 + q ( x ) ) with an indefinite weight r ( x ) = ( sgn x ) | r ( x ) |...

Spectral function of J-nonnegative operators | Similarity | Sturm–Liouville operator | Titchmarsh–Weyl m-function | J-self-adjoint operator | Critical points | Sturm-Liouville operator | Titchmarsh-Weyl m-function | INDEFINITE | MATHEMATICS | UNITARY | RANGE

Spectral function of J-nonnegative operators | Similarity | Sturm–Liouville operator | Titchmarsh–Weyl m-function | J-self-adjoint operator | Critical points | Sturm-Liouville operator | Titchmarsh-Weyl m-function | INDEFINITE | MATHEMATICS | UNITARY | RANGE

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 8/2011, Volume 62, Issue 4, pp. 609 - 622

In this paper, we study critical points of the functional $$J_{\epsilon}(u):=\frac{\epsilon^2}{2} \int\limits_0^1|u_x|^2{\rm {d}}x+\int\limits_0^1F(u){\rm...

Engineering | Mathematical Methods in Physics | Primary 34B09 | 34L15 | Secondary 34B16 | Theoretical and Applied Mechanics | 35K55 | SLOW DYNAMICS | MATHEMATICS, APPLIED | MOTION | HIGHER SPACE DIMENSIONS | CAHN-HILLIARD EQUATION

Engineering | Mathematical Methods in Physics | Primary 34B09 | 34L15 | Secondary 34B16 | Theoretical and Applied Mechanics | 35K55 | SLOW DYNAMICS | MATHEMATICS, APPLIED | MOTION | HIGHER SPACE DIMENSIONS | CAHN-HILLIARD EQUATION

Journal Article

Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, 12/2015, Volume 6, Issue 4, pp. 567 - 571

For a suitable potential, we provide an upper bound of the number of negative eigenvalues corresponding to a fractional Schrödinger operator, we observe that,...

35J40 | 34L15 | Fourier transform | Mathematics | 47A75 | 47A10 | Operator Theory | Algebra | Quadratic forms | Negative eigenvalues | Applications of Mathematics | 35R06 | Primary 34B09 | 58D10 | 34L25 | 57R40 | 47A40 | Functional Analysis | 35P15 | Analysis | Variational principle | 34L05 | Secondary 47A07 | 35R15 | Partial Differential Equations | ELLIPTIC OPERATOR | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | Eigenvalues | Schrodinger equation | Research | Mathematical research

35J40 | 34L15 | Fourier transform | Mathematics | 47A75 | 47A10 | Operator Theory | Algebra | Quadratic forms | Negative eigenvalues | Applications of Mathematics | 35R06 | Primary 34B09 | 58D10 | 34L25 | 57R40 | 47A40 | Functional Analysis | 35P15 | Analysis | Variational principle | 34L05 | Secondary 47A07 | 35R15 | Partial Differential Equations | ELLIPTIC OPERATOR | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | Eigenvalues | Schrodinger equation | Research | Mathematical research

Journal Article

14.
Full Text
Spectral properties of singular Sturm—Liouville operators with indefinite weight sgn x

Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, ISSN 0308-2105, 6/2009, Volume 139, Issue 3, pp. 483 - 503

We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. There is a self-adjoint operator in some Krein space associated naturally...

MATHEMATICS | SELF-ADJOINT OPERATORS | MATHEMATICS, APPLIED | PI(-) | PI(+) | DEFINITIZABLE OPERATORS | SIMILARITY | KREIN SPACE | Spectrum analysis | Mathematics

MATHEMATICS | SELF-ADJOINT OPERATORS | MATHEMATICS, APPLIED | PI(-) | PI(+) | DEFINITIZABLE OPERATORS | SIMILARITY | KREIN SPACE | Spectrum analysis | Mathematics

Journal Article

Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, ISSN 0308-2105, 8/2008, Volume 138, Issue 4, pp. 801 - 820

We present a new necessary condition for similarity of indefinite Sturm-Liouville operators to self-adjoint operators. This condition is formulated in terms of...

MATHEMATICS | MATHEMATICS, APPLIED | COMPLETENESS | SELF-ADJOINT OPERATOR | SIMILARITY | SPACES | Mathematics | Differential equations

MATHEMATICS | MATHEMATICS, APPLIED | COMPLETENESS | SELF-ADJOINT OPERATOR | SIMILARITY | SPACES | Mathematics | Differential equations

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 04/2009, Volume 63, Issue 4, pp. 473 - 499

We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions affinely dependent on the eigenparameter. We give sufficient...

eigenvalue dependent boundary conditions | Analysis | Indefinite Sturm-Liouville problem | Krein space | Mathematics | Primary 34B10 | Secondary 34B09, 47B25, 47B50 | Riesz basis | definitizable operator | Definitizable operator | Eigenvalue dependent boundary conditions | MATHEMATICS | EIGENFUNCTION-EXPANSIONS | ORDINARY DIFFERENTIAL-OPERATORS

eigenvalue dependent boundary conditions | Analysis | Indefinite Sturm-Liouville problem | Krein space | Mathematics | Primary 34B10 | Secondary 34B09, 47B25, 47B50 | Riesz basis | definitizable operator | Definitizable operator | Eigenvalue dependent boundary conditions | MATHEMATICS | EIGENFUNCTION-EXPANSIONS | ORDINARY DIFFERENTIAL-OPERATORS

Journal Article

04/2018

Integr. Equ. Oper. Theory (2018) 90: 5, 24 pp Norm resolvent approximation for a wide class of point interactions in one dimension is constructed. To analyse...

Journal Article

Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 08/2017, Volume 60, Issue 3, pp. 635 - 649

We consider the boundary-value problem -y" = lambda f(t, y(t)), 0 < t < 1 y(0) = H( phi(y)), y(1) = 0, where H: [0, +infinity) -> and f: [0,1] x R -> R are...

47H11 | Secondary 47B40 | 2010 Mathematics subject classification: Primary 34B09 | 34B10 | 34B18 | EXISTENCE | MATHEMATICS | positive solution | INCLUSIONS | POSITIVE SOLUTIONS | BVPS | SYSTEMS | nonlinear boundary condition | fixed-point index | boundary-value problem | non-local boundary condition | NONNEGATIVE SOLUTIONS | Mathematical analysis | Boundary conditions | Boundary value problems

47H11 | Secondary 47B40 | 2010 Mathematics subject classification: Primary 34B09 | 34B10 | 34B18 | EXISTENCE | MATHEMATICS | positive solution | INCLUSIONS | POSITIVE SOLUTIONS | BVPS | SYSTEMS | nonlinear boundary condition | fixed-point index | boundary-value problem | non-local boundary condition | NONNEGATIVE SOLUTIONS | Mathematical analysis | Boundary conditions | Boundary value problems

Journal Article

01/2014

J. Math. Phys. 56 (2015), 073508 A spectral parameter power series (SPPS) representation for solutions of Sturm-Liouville equations of the form...

Journal Article

02/2012

Integr. Equ. Oper. Theory 75 (2013), 341-362 For real bounded functions \Phi and \Psi of compact support, we prove the norm resolvent convergence, as \epsilon...

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.