Existence of Solutions for Impulsive Parabolic Partial Differential Equations

DOI10.1080/01630563.2015.1031381zbMath1330.35513OpenAlexW2109283267MaRDI QIDQ5264020

Bilal Chanane, Abdelkader Boucherif, Ali S. Alqahtani

Publication date: 20 July 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1031381

zbMATH Keywords

parabolic partial differential equationsGreen's functionfixed point theoremsimpulse effectsintegral representation of solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Impulsive partial differential equations (35R12)

Related Items

Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations, Unnamed Item, A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions

Cites Work

• Green function diagonal for a class of heat equations
• Blowing-up property of the solution of an impulsive parabolic equation.
• An inverse time-dependent source problem for the heat equation
• Well-posedness and spectral properties of heat and wave equations with non-local conditions
• The boundary-element method for the determination of a heat source dependent on one variable
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
• Open problems and conjectures
• Impulsive effects on global existence of solutions of semilinear heat equations
• Comparison results for systems of impulse parabolic equations with applications to population dynamics
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