Existence and location of periodic solutions to convex and non coercive Hamiltonian systems

Cordaro, Giuseppe

doi:10.3934/dcds.2005.12.983

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Introduction4

R (T)u (T) = F (T U(t + 1) U(t) U(t − 1)) T ∈ R1

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Cited by 16 publications

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“…Existence of periodic solutions of higher order differential equations has been the subject of many investigations [4,10,11,12,23,25,26]. Among the main approaches are critical point theory, fixed point theory, coincidence degree theory, and Kaplan-Yorke method.…”

Section: Introductionmentioning

confidence: 99%

Periodic solutions of a 2nth-order nonlinear difference equation

Zhou

Chen

2010

Sci. China Ser. A-Math.

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Section: Introductionmentioning

confidence: 99%

Periodic solutions of a 2nth-order nonlinear difference equation

Zhou

Chen

2010

Sci. China Ser. A-Math.

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“…Existence of periodic solutions of higher-order differential equations has been the subject of many investigations [8,15,16,17,32,36,37]. By using various methods and techniques, such as fixed point theory, the Kaplan-Yorke method, critical point theory, coincidence degree theory, bifurcation theory and dynamical system theory, etc., a series of existence results for periodic solutions have been obtained in the literature.…”

Section: Introductionmentioning

confidence: 99%

Existence of periodic solutions for 2$n$th-order nonlinear $p$-Laplacian difference equations

Shi

Liu

Zhang

2016

Rocky Mountain J. Math.

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By using the critical point theory, the existence of periodic solutions for 2nth-order nonlinear p-Laplacian difference equations is obtained. The main approaches used in our paper are variational techniques and the Saddle Point theorem. The problem is to solve the existence of periodic solutions for 2nth-order p-Laplacian difference equations. The results obtained successfully generalize and complement the existing ones. 2010 AMS Mathematics subject classification. Primary 39A11.

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“…The problem of periodic solutions for differential equations has been the subject of many investigations [6], [14], [15], [28], [32], [33]. By using various methods and techniques, such as fixed point theory, the Kaplan-Yorke method, critical point theory, coincidence degree theory, bifurcation theory and dynamical system theory etc., a series of existence results for periodic solutions have been obtained in the literature.…”

Section: Introductionmentioning

confidence: 99%