Multiple positive solutions of non-local initial value problems for first order differential systems

DOI10.1016/j.na.2012.06.008zbMath1245.34026OpenAlexW2021720209MaRDI QIDQ441199

Damian Trif, Radu Precup

Publication date: 20 August 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.06.008

zbMATH Keywords

periodic solutionpositive solutionfixed point indexnon-local condition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Degree theory for nonlinear operators (47H11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (7)

Heterogeneous vectorial fixed point theorems ⋮ Existence results for systems with coupled nonlocal initial conditions ⋮ Positive Solutions for a Nonlocal Resonant Problem of First Order ⋮ THEORY AND COMPUTATION FOR MULTIPLE POSITIVE SOLUTIONS OF NON-LOCAL PROBLEMS AT RESONANCE ⋮ Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions ⋮ Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions ⋮ Sign-constancy of Green's functions for impulsive nonlocal boundary value problems

Cites Work

• Semi-positone nonlocal boundary value problems of arbitrary order
• Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem
• Positive solutions of nonlocal boundary value problems with singularities
• General existence principles for nonlocal boundary value problems with \(\phi\)-Laplacian and their applications
• Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
• Non-local boundary value problems of arbitrary order
• On an m-point boundary-value problem for second-order ordinary differential equations
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