Existence and approximation of solutions of inverse- positive problems

DOI10.1016/0362-546X(86)90074-XzbMath0643.35023MaRDI QIDQ3785242

Philip Korman

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationmonotone iterationExistenceclassical solutionsBiharmonic equationinverse positivityCauchy's problemBounded string with free endsstatic deflection of a beam

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems for higher-order elliptic equations (35J40) Second-order nonlinear hyperbolic equations (35L70) Nonlinear higher-order PDEs (35G20) Theoretical approximation in context of PDEs (35A35) Other special methods applied to PDEs (35A25)

Related Items (1)

A maximum principle for fourth order ordinary differential equations

Cites Work

• Operator inequalities
• Maximum principles for solutions of some fourth-order elliptic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On application of the monotone iteration scheme to noncoercive elliptic and hyperbolic problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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