The method of lines applied to nonlinear nonlocal functional differential equations

DOI10.1016/j.jmaa.2010.10.024zbMath1216.34076OpenAlexW2034476062MaRDI QIDQ624582

Shruti A. Dubey

Publication date: 9 February 2011

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.2010.10.024

zbMATH Keywords

accretive operatormethod of linesstrong solutionnonlocal problem

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Functional-differential equations in abstract spaces (34K30)

Related Items (9)

Rothe's method for solving some fractional integral diffusion equation ⋮ Method of time-discretization to a multiterm nonlinear retarded differential equation ⋮ Strong solutions to quasi-linear differential equations with deviating arguments ⋮ Existence of solutions for a nonlinear nonlocal hybrid functional fractional differential equation ⋮ Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces ⋮ Application of Rothe's method to some functional differential equations with Dirichlet boundary conditions ⋮ A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams ⋮ Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions ⋮ Unnamed Item

Cites Work

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• On the construction of methods of lines for functional evolutions in general Banach spaces
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