A monotone method for infinite systems of nonlinear boundary value problems

DOI10.1007/BF00281410zbMath0397.35023OpenAlexW2091385773MaRDI QIDQ1253737

Jagdish Chandra, Vangipuram Lakshmikantham, S. G. Leela

Publication date: 1978

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281410

zbMATH Keywords

Infinite SystemsNonlinear Boundary Problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elliptic equations (35J60)

Related Items (17)

Monotone iterative scheme for nonlinear hyperbolic boundary value problem ⋮ Quasi-solutions and monotone method for systems of nonlinear boundary value problems ⋮ Monotone method for nonlinear boundary value problems arising in transport processes ⋮ Monotone method for second order periodic boundary value problems ⋮ On the fundamental theory of nonlinear second order stochastic boundary value problems ⋮ Comparison results for parabolic differential equations at resonance ⋮ Triple positive solutions for nonlinear boundary value problems in Banach space ⋮ Monotone methods for nonlinear boundary value problems in banach spaces ⋮ A monotone method for a system of semilinear parabolic differential equations ⋮ Stability results for solutions of reaction diffusion systems by the method of quasisolutions^† ⋮ A monotone method for a system of nonlinear parabolic differential equations ⋮ Monotone method for boundary value problems describing periodic transport processes ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham ⋮ Monotone method for a system of second order periodic boundary value problems ⋮ Comparison results for first and second order boundary value problems at resonance ⋮ Quasi-solutions and monotone method for infinite systems of nonlinear boundary value problems

Cites Work

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• Differential inequalities for infinite second order systems and an application to the method of lines
• A monotone method for quasilinear boundary value problems
• Minimal and maximal solutions of nonlinear boundary value problems
• An introduction to nonlinear boundary value problems
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Subfunction and second-order ordinary differential inequalities

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