Differential inequalities for infinite second order systems and an application to the method of lines

DOI10.1016/0022-0396(75)90053-4zbMath0293.34024OpenAlexW2087332542MaRDI QIDQ1212170

Russell C. Thompson

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90053-4

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations of infinite order (34A35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Differential inequalities involving functions of a single real variable (34A40)

Related Items (10)

Boundary value problems for higher order nonlinear ordinary differential systems ⋮ Boundary value problems for infinite systems of second order differential equations ⋮ Monotone methods for nonlinear boundary value problems in banach spaces ⋮ Existence of solutions of a nonlinear boundary value problem via the method of lines ⋮ Existence of solutions of boundary value problems for nonlinear second order systems in a Banach space ⋮ Ober die invaritanz konvexer teilmengen eines normierten raumes in bezug auf ellipische differentaialaleichungen ⋮ A monotone method for infinite systems of nonlinear boundary value problems ⋮ Difference equations in Banach spaces ⋮ Boundary Value Problems for Second Order Differential Equations in Convex Subsets of a Banach Space ⋮ Quasi-solutions and monotone method for infinite systems of nonlinear boundary value problems

Cites Work

• Ein Existenzbeweis für nichtlineare parabolische Differentialgleichungen aufgrund der Linientheorie
• Two point boundary problems in Banach space
• Boundary value problems for ordinary nonlinear second order systems
• Die Linienmethode bei nichtlinearen parabolischen Differentialgleichungen
• Gewöhnliche Differential-Ungleichungen im Banachraum
• Subfunction and second-order ordinary differential inequalities
• Ordinary differential inequalities in ordered Banach spaces
• Periodic solutions of systems of second-order differential equations
• Periodic boundary value problems for systems of second order differential equations
• A nonlinear boundary value problem
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