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2016, Second edition., Graduate studies in mathematics, ISBN 1470409860, Volume 175., xviii, 453 pages
Book
Optics Letters, ISSN 0146-9592, 04/2017, Volume 42, Issue 7, pp. 1197 - 1200
Leveraging subwavelength resonant nanostructures, plasmonic metasurfaces have recently attracted much attention as a breakthrough concept for engineering... 
OPTICS | Mathematical analysis | Magnetic resonance | Differential equations | Constants | Mathematical models | Nanostructure | Dielectrics | Invariants
Journal Article
Bernoulli, ISSN 1350-7265, 02/2017, Volume 23, Issue 1, pp. 645 - 669
This paper focuses on stochastic partial differential equations (SPDEs) under two-time-scale formulation. Distinct from the work in the existing literature,... 
Strong convergence | Stochastic partial differential equation | Averaging principle | Invariant measure | α-stable process | invariant measure | STATISTICS & PROBABILITY | alpha-stable process | stochastic partial differential equation | strong convergence | averaging principle
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2016, Volume 440, Issue 1, pp. 286 - 299
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2016, Volume 260, Issue 3, pp. 2354 - 2382
In this paper, we explain in more details the modern treatment of the problem of group classification of (systems of) partial differential equations (PDEs)... 
Symmetry reduction | Group classification | Invariant solutions | Equivalence transformation | Generalized Zakharov–Kuznetsov equations | Generalized Zakharov-Kuznetsov equations | TANH | SYMMETRIES | STABILITY | SOLITARY | SHALLOW-WATER EQUATIONS | MATHEMATICS | WAVES | SOLITONS | Algebra | Algorithms | Differential equations
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 11/2018, Volume 41, Issue 16, pp. 6955 - 6967
Journal Article
2011, World Scientific series on nonlinear science. Series A, Monographs and treatises, ISBN 9789814329064, Volume 78, ix, 312
Book
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 04/2012, Volume 241, Issue 7, pp. 764 - 774
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 12/2016, Volume 40, Issue 23-24, pp. 10286 - 10299
•Numerical solution of delay and partial delay differential equations are considered.•Haar wavelet collocation method is applied.•The method works equally good... 
Time-varying delay system | Delay partial differential equations | Time-invariant delay system | Delay differential equations | Haar wavelet | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | PARAMETER-ESTIMATION | BLOCK-PULSE FUNCTIONS | SYSTEMS | TIME | Differential equations
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2017, Volume 263, Issue 8, pp. 4929 - 4977
In this paper, we study the Wong–Zakai approximations given by a stationary process via the Wiener shift and their associated dynamics of the stochastic... 
Brownian motion | Wong–Zakai approximations | Multiplicative noise | Random dynamical systems | Center manifolds | BROWNIAN-MOTION | THEOREM | CHAOTIC BEHAVIOR | DRIVEN | INVARIANT-MANIFOLDS | UNSTABLE MANIFOLDS | INTEGRALS | MATHEMATICS | Wong-Zalmi approximations | BANACH-SPACES | CONVERGENCE | POINT | Differential equations
Journal Article
Theoretical and Mathematical Physics(Russian Federation), ISSN 0040-5779, 2015, Volume 182, Issue 2, pp. 211 - 230
All Painleve equations except the first belong to one type of equations. In terms of invariants of these equations, we obtain criteria for the equivalence to... 
equivalence | Painlevé equation | invariant | Differential equations
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2017, Volume 262, Issue 3, pp. 1603 - 1616
Asymptotic stability is examined for singularly perturbed ordinary differential equations that may not possess a natural split into fast and slow motions.... 
Asymptotic stability | Singular perturbations | Young measures | Invariant measures | MATHEMATICS | Differential equations
Journal Article
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2017, Volume 55, Issue 2, pp. 1153 - 1178
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 01/2020, Volume 34, Issue 1, p. 2050009
The invariant subspace method (ISM) is a powerful tool for investigating analytical solutions to fractional differential–difference equations (FDDEs). Based on... 
Invariant subspace method | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | fractional differential-difference equations | Caputo derivative | PHYSICS, MATHEMATICAL | analytical solutions
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 05/2018, Volume 86, pp. 166 - 188
Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of the same type are developed, using methods of real algebraic groups.... 
Maximal solvable subalgebras | Invariant solutions | Algebraic Lie algebras | LIE-ALGEBRAS | FORMS | DECOMPOSITIONS | MATHEMATICS, APPLIED | SYMMETRIES | COMPUTER SCIENCE, THEORY & METHODS | SUBGROUPS | Electrical engineering | Computer science | Algorithms | Algebra | Differential equations
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 10/2018, Volume 128, Issue 10, pp. 3253 - 3272
Journal Article
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