Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations

DOI10.1155/2008/796851zbMath1153.39006OpenAlexW2138260321WikidataQ59218074 ScholiaQ59218074MaRDI QIDQ954869

Victoria Otero-Espinar, Ravi P. Agarwal, Dolores R. Vivero, Perera, Kanishka

Publication date: 18 November 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54956

zbMATH Keywords

boundary value problemsmultiple positive solutionsnegative exponent Emden-Fowler equationsingular second-order dynamic equation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Discrete version of topics in analysis (39A12) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (11)

Positive solution of singular BVPs for a system of dynamic equations on time scales ⋮ Positive solutions of semipositone higher-order differential equations on time scales ⋮ Multiple positive solutions of \(m\)-point BVPs for third-order \(p\)-Laplacian dynamic equations on time scales ⋮ Positive solutions of the singular eigenvalue problem for a higher-order differential equation on time scales ⋮ Existence and uniqueness of positive solution for singular BVPs on time scales ⋮ Positive solutions to singular and delay higher-order differential equations on time scales ⋮ Existence results for higher-order boundary value problems on time scales ⋮ Multiple positive solutions for a class of \(m\)-point boundary value problems on time scales ⋮ Necessary and sufficient conditions for the existence of positive solution for singular boundary value problems on time scales ⋮ Existence of weak solutions for second-order boundary value problem of impulsive dynamic equations on time scales ⋮ Periodic solution of second-order Hamiltonian systems with a change sign potential on time scales

Cites Work

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• Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods
• Multiple positive solutions of singular Dirichlet problems on time scales via variational methods
• An upper and lower solution theory for singular Emden-Fowler equations
• Basic properties of Sobolev's spaces on time scales
• Existence results for discrete Sturm–Liouville problem via variational methods
• Wirtinger's Inequalities on Time Scales
• Existence and approximation of solution of three-point boundary value problems on time scales
• On the Generalized Emden–Fowler Equation
• Positive solutions in the sense of distributions of singular boundary value problems
• Criterions for absolute continuity on time scales

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