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Published in 2021 at "Results in Mathematics"
DOI: 10.1007/s00025-021-01414-5
Abstract: Let $$p_1, p_2$$ be nonzero rational functions, $$\alpha _1, \alpha _2$$ be nonzero constants, and $$P_d(z, f)$$ be a difference polynomial in f of degree d. We prove that every finite order meromorphic solution of…
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Keywords:
nonlinear difference;
difference equations;
meromorphic solutions;
difference ... See more keywords
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Published in 2018 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018133
Abstract: In this paper, first we survey the recent progress in usage of the critical point theory to study the existence of multiple periodic and subharmonic solutions in second order difference equations and discrete Hamiltonian systems…
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Keywords:
difference equations;
difference;
topological methods;
methods nonlinear ... See more keywords