Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods

DOI10.1016/j.jmaa.2006.09.051zbMath1126.34018OpenAlexW2066096198MaRDI QIDQ878495

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

Publication date: 26 April 2007

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.2006.09.051

zbMATH Keywords

variational methodscritical point theorymultiple positive solutionsdynamic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

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Cites Work

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• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Basic properties of Sobolev's spaces on time scales
• Wirtinger's Inequalities on Time Scales
• Criterions for absolute continuity on time scales
• Multiple positive solutions of singular problems by variational methods