Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y=g(t,y,y',y)\)

DOI10.1216/rmjm/1181073050zbMath0728.34004OpenAlexW1974305347MaRDI QIDQ804776

Tomasz Kaczynski, Wiesław Krawcewicz, Lynn H. Erbe

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073050

zbMATH Keywords

nonlinear differential equationstwo point boundary value problemsnonexpansiveBernstein-Nagumo type conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09)

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Cites Work

• Solvability of various boundary value problems for the equation \(x=f(t,x,x',x)-y\)
• Convex analysis and measurable multifunctions
• Nonlinear boundary value problems for differential inclusions y ∈ F(t,y,y')
• Topological degree methods in multi-valued boundary value problems
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
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