Nonlinear boundary value problems in Hilbert spaces

DOI10.1016/0022-247X(89)90273-4zbMath0672.34056MaRDI QIDQ1120053

S. H. Smith

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

two point boundary value problemSturm-Liouville type boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (9)

An existence principle for boundary value problems for second order functional differential equations ⋮ Positive solution for singular boundary value problems ⋮ Measures of noncompactness, Darbo maps and differential equations in abstract spaces ⋮ An Integral Delay Inequality and its Applications to Boundary Value Problems ⋮ Second and higher order systems of boundary value problems ⋮ A boundary value problem for operator equations in Hilbert spaces ⋮ Existence of solutions of boundary value problems for differential equations with deviating arguments, via the topological transversality method ⋮ Existence of positive solutions for various boundary value problems ⋮ An application of topological transversality to non-positive higher order difference equations

Cites Work

• Topological transversality. II: Applications to the Neumann problem for \(y=f(t,y,y')\)
• Nonlinear boundary value problems for some classes of ordinary differential equations
• The generic property of existence of solutions of differential equations in Banach space
• Monotone methods for nonlinear boundary value problems in banach spaces
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