A monotone method for a system of nonlinear parabolic differential equations

DOI10.1017/S0308210500015146zbMath0454.35052MaRDI QIDQ3901891

Paul Norman, Francis G. Dressel, Jagdish Chandra

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

upper and lower solutionsinitial boundary value problemunique solutionmonotone methodnonlinear parabolic differential equationsmonotone iterative procedureArrhenius reaction terms

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Theoretical approximation in context of PDEs (35A35)

Related Items (9)

Permanence and asymptotic stability for competitive and Lotka-Volterra systems with diffusion. ⋮ A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms ⋮ Monotone iterative scheme for nonlinear hyperbolic boundary value problem ⋮ Zur Effektivität des Verfahrens der monotonen Iteration bei semilinearen parabolischen und elliptischen Randwertproblemen ⋮ Ein konstruktiver Existenzsatz für Randwertprobleme elliptischer Differentialgleichungen zweiter Ordnung mit unstetiger Nichtlinearität ⋮ On the fundamental theory of nonlinear second order stochastic boundary value problems ⋮ Stability results for solutions of reaction diffusion systems by the method of quasisolutions^† ⋮ Comparison theorems for nonlinear elliptic systems of second order with applications ⋮ Existence of coupled quasi-solutions of systems of nonlinear reaction- diffusion equations

Cites Work

• A monotone method for infinite systems of nonlinear boundary value problems
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