Faedo–Galerkin method for impulsive second-order stochastic integro-differential systems

Prato, 1992 Govindan, 2016 Øksendal, 1998 Benchohra, 2006 Lakshmikantham, 1989 Heinz, 1975, Zu einem Satz von F.W. Browder über nichtlineare Wellengleichungen, Math Z, 141, 33, 10.1007/BF01236982 Bazley, 1979, Approximation of wave equations with reproducing nonlinearities, Nonlinear Anal TMA, 3, 539, 10.1016/0362-546X(79)90071-3 Bazley, 1980, Global convergence of Faedo–Galerkin approximations to nonlinear wave equations, Nonlinear Anal TMA, 4, 503, 10.1016/0362-546X(80)90088-7 Goethel, 1984, Faedo–Galerkin approximations in equations of evolution, Math Methods Appl Sci, 6, 41, 10.1002/mma.1670060104 Miletta, 1994, Approximation of solutions to evolution equations, Math Methods Appl Sci, 17, 753, 10.1002/mma.1670171002 Bahuguna, 1996, Approximation of solutions to evolution integrodifferential equations, J Appl Math Stoch Anal, 9, 315, 10.1155/S1048953396000299 Bahuguna, 2001, Approximations of solutions to semilinear integrodifferential equations, Numer Funct Anal Optim, 22, 487, 10.1081/NFA-100105304 Bahuguna, 2003, Approximations of solutions to second order semilinear integrodifferential equations, Numer Funct Anal Optim, 24, 365, 10.1081/NFA-120022929 Muslim, 2010, Approximation of solutions to impulsive functional differential equations, J Appl Math Comput, 34, 101, 10.1007/s12190-009-0310-1 Raheem, 2019, An approximate solution to a class of impulsive fractional differential equations in a reflexive Banach space, Int J Appl Comput Math, 5, 1 Sousa, 2021, Faedo–Galerkin approximation of mild solutions of fractional functional differential equations, Nonauton Dyn Syst, 8, 1, 10.1515/msds-2020-0122 Fattorini, 1985 Travis, 1978, Cosine families and abstract nonlinear second order differential equations, Acta Math Acad Sci Hung, 32, 75, 10.1007/BF01902205 Ichikawa, 1982, Stability of semilinear stochastic evolution equations, J Math Anal Appl, 90, 12, 10.1016/0022-247X(82)90041-5 Zadoyanchuk, 2007, Faedo–Galerkin method for nonlinear second-order evolution equations with volterra operators, Nonlinear Oscil, 10, 203, 10.1007/s11072-007-0016-y Zadoyanchuk, 2009, Faedo–Galerkin method for second-order evolution inclusions with wλ-pseudomonotone mappings, Ukr Math J, 61, 236, 10.1007/s11253-009-0207-z Muslim, 2018, Faedo–Galerkin approximation of second order nonlinear differential equation with deviated argument, Appl Math Comput, 329, 315 Luo, 2014, Existence of solutions of a second-order impulsive differential equation, Adv Differ Equ, 2014, 1 Balasubramaniam, 2009, Faedo–Galerkin approximate solutions for stochastic semilinear integrodifferential equations, Comput Math Appl, 58, 48, 10.1016/j.camwa.2009.03.084 Chaudhary, 2016, Approximation of solutions to a delay equation with a random forcing term and non local conditions, J Integral Equ Appl, 28, 481 Chaudhary, 2018, Existence and approximation of solution to stochastic fractional integro-differential equation with impulsive effects, Collect Math, 69, 181, 10.1007/s13348-017-0199-1 Pazy, 1983 Whitham, 1974 Horsthemke, 1984