Singular perturbation problems for systems of partial differential equations of elliptic type

DOI10.1016/0022-247X(79)90215-4zbMath0423.65061OpenAlexW2016278383MaRDI QIDQ1134510

S. H. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90215-4

zbMATH Keywords

Dirichlet boundary conditionssystems of nonlinear partial differential equationselliptic boundary value problemssingular perturbation problemstheory of differential inequalities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (9)

Asymptotic numerical methods for singularly perturbed fourth-order ordinary differential equations of reaction-diffusion type ⋮ Computational methods for reaction--diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative. ⋮ An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type. ⋮ A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations ⋮ A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations ⋮ A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations ⋮ An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type ⋮ Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type ⋮ Comparison theorems for nonlinear elliptic systems of second order with applications

Cites Work

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• Uniqueness and stability for boundary value problems with weakly coupled systems of nonlinear integro-differential equations and application to chemical reactions
• Applications of the Maximum Principle to Singular Perturbation Problems
• Asymptotic Characterization of Solutions of a Boundary Value Problem Arising in Fluid Mechanics
• Hinreichende Bedingung für Ausschluß von Eigenwerten in Parameterintervallen bei einer Klasse von linearen homogenen Funktionalgleichungen

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