Articles with "nonlinear difference" as a keyword



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Meromorphic Solutions of Certain Nonlinear Difference Equations

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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… read more here.

Keywords: nonlinear difference; difference equations; meromorphic solutions; difference ... See more keywords
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On variational and topological methods in nonlinear difference equations

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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… read more here.

Keywords: difference equations; difference; topological methods; methods nonlinear ... See more keywords