Antitone operators and ordinary differential equations

DOI10.21136/cmj.1981.101772zbMath0491.34022OpenAlexW2623308570MaRDI QIDQ3952423

Valter Šeda

Publication date: 1981

Full work available at URL: https://eudml.org/doc/13285

zbMATH Keywords

lower and upper solutiontwo-point boundary value problemsordered Banach spaceantitone operatorinverse monotone operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Green's functions for ordinary differential equations (34B27)

Related Items (7)

The Dirichlet problem for quasimonotone systems of second order equations ⋮ Unnamed Item ⋮ Periodic boundary value problems for nonlinear higher order ordinary differential equations ⋮ Abstract comparison principles and multivariable Gronwall-Bellman inequalities ⋮ Monotone-iterative technique for decreasing mappings ⋮ Unnamed Item ⋮ Sixty years of Professor Valter Šeda

Cites Work

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• Monotone operators and nonlinear equations
• Two remarks on boundary value problems for ordinary differential equations
• Supersolutions, monotone iterations, and stability
• A lattice-theoretical fixpoint theorem and its applications
• Solving Production Smoothing Problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Existence of Periodic Solutions of Differential Equations of Second Order
• Boundary value problems for ordinary differential equations

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