Quasi-solutions and monotone method for systems of nonlinear boundary value problems

DOI10.1016/0022-247X(81)90006-8zbMath0453.34020MaRDI QIDQ1149034

Vangipuram Lakshmikantham

Publication date: 1981

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

zbMATH Keywords

existence of extremal solutionsmonotone iterative techniques

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (16)

The Dirichlet problem for quasimonotone systems of second order equations ⋮ Existence of monotone solutions for functional differential equations ⋮ Monotone-iterative method for solving the periodic problem for systems of impulsive differential equations ⋮ Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces ⋮ Monotone iterative scheme for nonlinear hyperbolic boundary value problem ⋮ Monotone method for nonlinear boundary value problems arising in transport processes ⋮ BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM ⋮ Some results on the method of lower and upper solutions for non-compact domains ⋮ Monotone method for second order periodic boundary value problems ⋮ Monotone method and periodic solution of non linear parabolic boundary value problem for systems ⋮ A new extension of classical Müller's theorem ⋮ Monotone method for a system of second order periodic boundary value problems ⋮ The method of upper, lower solutions and hyperbolic partial differential equations ⋮ Quasi-solutions and monotone method for infinite systems of nonlinear boundary value problems ⋮ Application of the monotone-iterative techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations ⋮ Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems

Cites Work

• Unnamed Item
• A monotone method for quasilinear boundary value problems
• A monotone method for infinite systems of nonlinear boundary value problems
• An introduction to nonlinear boundary value problems
• The extendability of solutions of perturbed scalar differential equations
• Quasi-solutions and their role in the qualitative theory of differential equations

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