Constant-sign solutions for systems of singular integral equations of Hammerstein type

DOI10.1016/j.mcm.2009.04.003zbMath1193.45023OpenAlexW2010657203MaRDI QIDQ969993

Ravi P. Agarwal, Patricia J. Y. Wong, Donal O'Regan

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.04.003

zbMATH Keywords

Schauder's fixed point theorempositive solutionLeray-Schauder alternativeconstant-sign solutionsingular equationKrasnosel'skij fixed point theoremsystem of Hammerstein equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Systems of nonlinear integral equations (45G15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular nonlinear integral equations (45G05)

Related Items (7)

Some existence theorems for systems of equations involving condensing operators and applications ⋮ Random fixed point theorem in generalized Banach space and applications ⋮ Existence for singular periodic problems: a survey of recent results ⋮ Non-negative solutions of systems of ODEs with coupled boundary conditions ⋮ Existence of solutions for a class of nonlinear Volterra singular integral equations ⋮ Positive solutions for a system of nonlinear Hammerstein integral equations and applications ⋮ Random fixed point theorems in partially ordered metric spaces

Cites Work

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• Infinitely many \(T\)-periodic solutions for a problem arising in nonlinear elasticity
• Weak singularities may help periodic solutions to exist
• Collisionless orbits of singular and non singular dynamical systems
• Positive periodic solutions of Hill's equations with singular nonlinear perturbations
• Constant-sign solutions for systems of Fredholm and Volterra integral equations: The singular case
• Existence principles for nonlinear resonant operator and integral equations
• Some singular, nonlinear differential equations arising in boundary layer theory
• Positive solutions of semilinear differential equations with singularities
• Singular nonlinear boundary value problem arising in boundary layer theory
• Upper and lower solutions for a generalized Emden-Fowler equation
• A positive operator approach to the Neumann problem for a second order ordinary differential equation
• Forced singular oscillators and the method of lower and upper solutions
• Monotone method for singular Neumann problem
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Nonzero solutions of Hammerstein integral equations with discontinuous kernels
• Existence criteria for singular boundary value problems with sign changing nonlinearities
• Multiple positive solutions of Hammerstein integral equations and applications to periodic boundary value problems
• Solutions of Hammerstein integral equations via a variational principle
• Nonlinear integral equations singular in the dependent variable
• Positive solutions of Neumann problems with singularities
• Constant-sign solutions of a system of integral equations with integrable singularities
• Periodic solutions of second order non-autonomous singular dynamical systems
• A Note on a Singular Integral Equation Arising in a Problem in Communications
• Periodic Solutions of some Lienard Equations with Singularities
• On forced dynamical systems with a singularity of repulsive type
• Applications of Schauder's fixed point theorem to singular differential equations
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
• T-periodic solutions for some second order differential equations with singularities
• A relationship between the periodic and the Dirichlet BVPs of singular differential equations
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Liapunov-type inequalities and Neumann boundary value problems at resonance
• Periodic Solutions of Equations of Emarkov-Pinney Type
• Multiple positive solutions of singular problems by variational methods
• Monotone method for the Neumann problem with lower and upper solutions in the reverse order
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

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