Multiple unbounded solutions of boundary value problems for second-order differential equations on the half-line

DOI10.1016/S0362-546X(01)00877-XzbMath1021.34021MaRDI QIDQ1849017

Baoqiang Yan

Publication date: 28 November 2002

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

zbMATH Keywords

fixed-point indexunbounded solutionsnonlinear alternativeboundary value problems on the half-lineCorduneanu theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (31)

Solvability for nonlocal boundary value problems with generalized \(p\)-Laplacian on an unbounded domain ⋮ Positive, unbounded and monotone solutions of the singular second Painlevé equation on the half-line ⋮ Positive solutions of IBVPs for \(q\)-difference equations with \(p\)-Laplacian on infinite interval ⋮ Solvability for a fractional \(p\)-Laplacian multipoint boundary value problem at resonance on infinite interval ⋮ Asymptotic integration of a class of nonlinear differential equations ⋮ Triple positive solutions for boundary value problems on infinite intervals ⋮ Multiple solutions of second-order three-point singular boundary value problems on the half-line ⋮ Multiplicity of solutions for impulsive differential equation on the half-line via variational methods ⋮ Heteroclinic connections for fully non-linear non-autonomous second-order differential equations ⋮ Positive solutions for multi-point boundary value problem on the half-line ⋮ Multiple solutions for a Kirchhoff-type second-order impulsive differential equation on the half-line ⋮ Unbounded solutions of BVP for second order ODE with \(p\)-Laplacian on the half line. ⋮ Generalized Painlevé equation and superconductivity. Asymptotic behavior of unbounded solutions ⋮ Nonlinear boundary value problems on semi-infinite intervals using weighted spaces: an upper and lower solution approach ⋮ Existence of solutions for a nonlocal boundary value problem at resonance on the half-line ⋮ On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval ⋮ The method of upper and lower solutions for discrete BVP on infinite intervals ⋮ Positive solutions for three-point boundary value problem on the half-line ⋮ The existence of countably many positive solutions for one-dimensional \(p\)-Laplacian with infinitely many singularities on the half-line ⋮ Variational approaches to Kirchhoff-type second-order impulsive differential equations on the half-line ⋮ The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems on the half-line ⋮ Existence of solutions of \(n\)-point boundary value problems on the half-line in Banach spaces ⋮ Calculus of variations for a boundary value problem of differential system on the half line ⋮ Positive solutions for singular third-order boundary value problem with dependence on the first order derivative on the half-line ⋮ Multiple positive solutions of \(n\)-point boundary value problems on the half-line in Banach spaces ⋮ POSITIVE INCREASING SOLUTIONS ON THE HALF-LINE TO SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS ⋮ The existence of countably many positive solutions for some nonlinear three-point boundary problems on the half-line ⋮ The existence of multiple positive solutions for multi-point boundary value problems on the half-line ⋮ On the existence of positive solutions for singular boundary value problems on the half-line ⋮ The existence of three positive solutions for some nonlinear boundary value problems on the half-line ⋮ Initial value problem with infinitely many linear-like solutions for a second-order differential equation

Cites Work

• Solutions of impulsive boundary value problems on the half-line
• Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Singular boundary value problems on a half-line
• A fixed-point approach for nonlinear discrete boundary value problems
• Multiple positive solutions of impulsive nonlinear Fredholm integral equations and applications
• Existence and uniqueness for nonlinear boundary value problems on infinite intervals
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals
• Some new existence results for differential and integral equations
• Multiple periodic solutions for lagrangian systems in Tn
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