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Electronic journal of differential equations, ISSN 1072-6691, 01/2016, Volume 2016, Issue 6, pp. 1 - 8
In this article, by using the lower and upper solution method, we prove the existence of iterative solutions for a class of fractional initial value problem... 
Fractional initial value problem | Existence of solutions | Lower and upper solution method | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | lower and upper solution method | existence of solutions
Journal Article
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 2017, Volume 42, pp. 675 - 681
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 09/2017, Volume 321, pp. 226 - 231
A new phase fitted Runge–Kutta pair of orders 8(7) which is a modification of a well known explicit Runge–Kutta pair for the integration of periodic initial... 
Runge–Kutta | Numerical solution | Initial value problem | Variable step | Phase fitted | MATHEMATICS, APPLIED | NUMERICAL-INTEGRATION | Runge Kutta | INITIAL-VALUE PROBLEMS
Journal Article
Reviews of modern physics, ISSN 1539-0756, 2016, Volume 88, Issue 1
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 02/2015, Volume 48, Issue 6, pp. 65204 - 20
We describe a method to construct well-posed initial value problems (IVPs) for not necessarily integrable equations on not necessarily simply connected... 
Initial value problem | Integrable | Quad-graph | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | quad-graph | initial value problem | integrable | Construction | Initial value problems | Well posed problems | Mathematical analysis
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2011, Volume 62, Issue 3, pp. 1591 - 1601
We develop properties of the Laplace Transform in a discrete, fractional calculus setting, giving a precise treatment to convergence along the way. The end... 
Exponential order | Convolution | Taylor monomial | Discrete fractional calculus | Laplace transform | Fractional initial value problem | MATHEMATICS, APPLIED | Calculus | Initial value problems | Mathematical models | Laplace transforms | Mathematical analysis | Convergence
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 07/2016, Volume 72, Issue 1, pp. 64 - 75
This paper considers the existence and uniqueness of the global smooth solution for the initial value problem of generalized Zakharov equations in dimension... 
Global solutions | Initial value problem | Generalized Zakharov equations | SYSTEM | MATHEMATICS, APPLIED | WELL-POSEDNESS | KUZNETSOV EQUATION | Integrals | Mathematical analysis | Uniqueness | Initial value problems | Mathematical models | Estimates | Galerkin methods
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 2019, p. 112500
Journal Article
Living Reviews in Relativity, ISSN 2367-3613, 12/2012, Volume 15, Issue 1, pp. 1 - 99
Journal Article
Numerical Algorithms, ISSN 1017-1398, 8/2016, Volume 72, Issue 4, pp. 1089 - 1102
A new optimized two-step hybrid block method for the numerical integration of general second-order initial value problems is presented. The method considers... 
Algorithms | Algebra | General second-order initial-value problem | Numerical Analysis | Computer Science | Numeric Computing | Optimization criterium | Theory of Computation | Intra-step nodal points | MSC 65L05 | Hybrid block method | Y''=F(X,Y,Y') | MATHEMATICS, APPLIED | MULTISTEP METHODS | NYSTROM METHODS | Computer science | International trade | Analysis | Methods
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2010, Volume 367, Issue 1, pp. 260 - 272
Journal Article
Journal of functional analysis, ISSN 0022-1236, 01/2016, Volume 270, Issue 2, pp. 718 - 747
On any closed Riemannian manifold of dimension greater than 7, we construct examples of background physical coefficients for which the Einstein–Lichnerowicz... 
Finite-dimensional reduction | Initial-value problem in General Relativity | Blow-up theory | Initial-value problem in general relativity | MATHEMATICS | FIELD LICHNEROWICZ EQUATIONS | STABILITY | Relativity | YAMABE | SIGN-CHANGING SOLUTIONS | BLOW-UP PHENOMENA | Initial-value problem in General
Journal Article
Journal of differential geometry, ISSN 0022-040X, 09/2018, Volume 110, Issue 1, pp. 73 - 133
We consider a characteristic problem of the vacuum Einstein equations with part of the initial data given on a future asymptotically flat null cone, and show... 
MATHEMATICS | INITIAL-VALUE PROBLEM
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 251, Issue 4, pp. 902 - 917
In this paper we study the random-data initial value problem of the Navier–Stokes equations in L 2 ( T 3 ) . By using the randomization approach recently... 
Navier–Stokes equations | Randomization | Initial value problem | Navier-Stokes equations | EXISTENCE | MATHEMATICS | INITIAL VALUE-PROBLEM | WEAK SOLUTIONS | Fluid dynamics
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 12/2018, Volume 1139, Issue 1
Conference Proceeding
Journal of Difference Equations and Applications, ISSN 1023-6198, 03/2018, Volume 24, Issue 3, pp. 305 - 343
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2016, Volume 49, Issue 44, p. 445202
We describe a seemingly un-noticed feature of the text-book Maxwell-Lorentz system of classical electrodynamics which challenges its formulation in terms of an... 
classical electrodynamics | initial value problem | singular light fronts | PHYSICS, MULTIDISCIPLINARY | EQUATIONS | PHYSICS, MATHEMATICAL | 2-BODY PROBLEM
Journal Article
AIAA Journal, ISSN 0001-1452, 08/2011, Volume 49, Issue 8, pp. 1647 - 1657
The discrete spectrum of disturbances in high-speed boundary layers is discussed with emphasis on singularities caused by synchronization of the normal modes.... 
FLAT-PLATE | ACOUSTIC DISTURBANCES | FLOWS | ENGINEERING, AEROSPACE | RECEPTIVITY | INITIAL-VALUE PROBLEM | Mechanical properties | Numerical analysis | Research | Singularities (Mathematics) | Boundary layer | Stability | Terminology | High speed | Synchronism | Instability | Spectra | Synchronization
Journal Article