Multiple periodic solutions for difference equations with double resonance at infinity

Xiaosheng Zhang; Duo Wang

doi:10.1155/2011/806458

Multiple periodic solutions for difference equations with double resonance at infinity

Xiaosheng Zhang^*
, Duo Wang

^*Corresponding author for this work

Capital Normal University
Peking University
South China Normal University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

By using variational methods and Morse theory, we study the multiplicity of the periodic solutions for a class of difference equations with double resonance at infinity. To the best of our knowledge, investigations on double-resonant difference systems have not been seen in the literature.

Original language	English
Article number	806458
Journal	Advances in Difference Equations
Volume	2011
DOIs	https://doi.org/10.1155/2011/806458
Publication status	Published - 2011
Externally published	Yes

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title = "Multiple periodic solutions for difference equations with double resonance at infinity",

abstract = "By using variational methods and Morse theory, we study the multiplicity of the periodic solutions for a class of difference equations with double resonance at infinity. To the best of our knowledge, investigations on double-resonant difference systems have not been seen in the literature.",

author = "Xiaosheng Zhang and Duo Wang",

note = "Funding Information: The authors are grateful for the referee's careful reviewing and helpful comments. Also the authors would like to thank Professor Su Jiabao for his helpful suggestions. This work is supported by NSFC(10871005) and BJJW(KM200610028001).",

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AU - Wang, Duo

N1 - Funding Information: The authors are grateful for the referee's careful reviewing and helpful comments. Also the authors would like to thank Professor Su Jiabao for his helpful suggestions. This work is supported by NSFC(10871005) and BJJW(KM200610028001).

PY - 2011

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N2 - By using variational methods and Morse theory, we study the multiplicity of the periodic solutions for a class of difference equations with double resonance at infinity. To the best of our knowledge, investigations on double-resonant difference systems have not been seen in the literature.

AB - By using variational methods and Morse theory, we study the multiplicity of the periodic solutions for a class of difference equations with double resonance at infinity. To the best of our knowledge, investigations on double-resonant difference systems have not been seen in the literature.

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U2 - 10.1155/2011/806458

DO - 10.1155/2011/806458

M3 - Article

AN - SCOPUS:79955022800

SN - 1687-1839

VL - 2011

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 806458

ER -

Multiple periodic solutions for difference equations with double resonance at infinity

Abstract

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