Fixed point theorem of Leggett-Williams type and its application

DOI10.1016/J.JMAA.2004.07.002zbMath1066.47059OpenAlexW2044277435MaRDI QIDQ1766732

Mirosława Zima

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.002

zbMATH Keywords

conepositive solutionfixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

Leggett--Williams norm-type fixed point theorems for multivalued mappings ⋮ Solvability of a class of integral inclusions ⋮ Hyers-Ulam stability of a class of nonlocal boundary value problem having triple solutions ⋮ Existence results for a class of generalized fractional boundary value problems ⋮ Second order nonlocal boundary value problems at resonance ⋮ Positive solutions of multi-point boundary value problems at resonance ⋮ Multiplicity of positive radial solutions for an elliptic inclusion system on an annulus ⋮ Multiple fixed-sign solutions for a system of difference equations with Sturm-Liouville conditions ⋮ Some new existence results of positive solutions to an even-order boundary value problem on time scales ⋮ A generalization of the Leggett-Williams fixed point theorem and its application ⋮ Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations ⋮ Krasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex sets ⋮ Existence of triple positive solutions of two-point right focal boundary value problems on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• A fixed point theorem with application to an infectious disease model
• Existence theorems for a second order three-point boundary value problem
• Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease
• Nonzero solutions of Hammerstein integral equations with discontinuous kernels
• Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator
• On the Existence of Positive Solutions of Ordinary Differential Equations
• Fixed Point Theorem of Cone Expansion and Compression of Functional Type
• On the existence of positive solutions of nonlinear second order differential equations
• Positive \(L^p\) solutions of Hammerstein integral equations
• On positive solutions of boundary value problems on the half-line
• Multiple solutions and eigenvalues for third-order right focal boundary value problems

This page was built for publication: Fixed point theorem of Leggett-Williams type and its application