Extremality results for discontinuous explicit and implicit diffusion problems

DOI10.1016/S0377-0427(01)00501-5zbMath1016.76075MaRDI QIDQ1612330

Alberto Cabada, Seppo Heikkilä

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence of extremal solutionscomparison theoremdiscontinuous nonlinearitiesexplicit diffusion problemsimplicit diffusion problems

Mathematics Subject Classification ID

Diffusion (76R50)

Related Items (7)

Positive solutions for a class of implicit and discontinuous second order functional differential equations with singularities. ⋮ Second-order initial value problems with singularities ⋮ EXISTENCE OF A SOLUTION FOR A SINGULAR DIFFERENTIAL EQUATION WITH NONLINEAR FUNCTIONAL BOUNDARY CONDITIONS ⋮ Extremal solutions of \(\varphi \)-Laplacian-diffusion scalar problems with nonlinear functional boundary conditions in a unified way ⋮ Existence of positive solutions for second-order ODEs with reverse Carathéodory functions ⋮ Extremal positive solutions for a class of singular and discontinuous second order problems ⋮ Existence results and approximation methods for functional ordinary differential equations with singular diffusion-type differential operators

Cites Work

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• Approximate solutions to a new class of nonlinear diffusion problems
• Integration in linear spaces
• Operator equations in orderd sets and discontinuous implicit parabolic equations

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