Homoclinic solutions in periodic partial difference equations
Advances in Nonlinear AnalysisBy using critical point theory in combination with periodic approximations, we obtain novel sufficient conditions for the existence of nontrivial homoclinic solutions for a class of periodic partial difference equations with sign-changing mixed ...
Mei Peng, Zhou Zhan, Yu Jianshe
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Hirota equation and the quantum plane
, 2012 We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps.
Doliwa, Adam
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Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models [PDF]
, 2013 The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian.
Bojowald, Martin
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Percival Lagrangian approach to Aubry-Mather theory [PDF]
, 2011 We present some streamlined proofs of some of the basic results in Aubry-Mather theory (existence of quasi-periodic minimizers, multiplicity results when there are gaps among minimizers) based on the study of hull functions.
De La Llave, Rafael, Xifeng Su
core
, 2016 In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented.
Area, I. +4 more
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Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment. [PDF]
Nonlinear Dyn, 2023 Mvogo A +3 more
europepmc +1 more source
Lattice equations arising from discrete Painlev\'e systems. II. $A_4^{(1)}$ case
, 2016 In this paper, we construct two lattices from the $\tau$ functions of $A_4^{(1)}$-surface $q$-Painlev\'e equations, on which quad-equations of ABS type appear.
Joshi, Nalini +2 more
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An efficient nonstandard computer method to solve a compartmental epidemiological model for COVID-19 with vaccination and population migration. [PDF]
Comput Methods Programs Biomed, 2022 Herrera-Serrano JE +3 more
europepmc +1 more source
On a class of nonlinear discrete problems of Kirchhoff type [PDF]
In view of variational methods and critical points theory, we study the existence of solutions for a discrete boundary value problem, which is a discrete variant of a continuous (p1(x), p2(x))-Kirchhoff-type problem, with a real parameter λ > 0 ...
AYOUJIL, Abdesslem +2 more
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Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases. [PDF]
Comput Methods Programs Biomed, 2021 Macías-Díaz JE +3 more
europepmc +1 more source