Approximations of solutions to neutral functional differential equations with nonlocal history conditions

DOI10.1016/j.jmaa.2005.07.010zbMath1101.34063OpenAlexW2015017604MaRDI QIDQ820043

Dhirendra Bahuguna, Shruti Agarwal

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.010

zbMATH Keywords

analytic semigroupsneutral functional-differential equationsFaedo-Galerkin approximationnonlocal history conditions

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items (12)

Mean square stability of two classes of theta method for neutral stochastic differential delay equations ⋮ Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces ⋮ Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions ⋮ Approximations of numerical method for neutral stochastic functional differential equations with Markovian switching ⋮ Faedo-Galerkin approximate solutions for nonlocal fractional differential equation of Sobolev type ⋮ Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method ⋮ Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions ⋮ Strong convergence of the split-step theta method for neutral stochastic delay differential equations ⋮ Approximation of solutions to stochastic neutral fractional integro-differential equation with nonlocal conditions ⋮ Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument ⋮ Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations ⋮ Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations

Cites Work

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