Results 11 to 20 of about 52 (49)

High order multiscale analysis of discrete integrable equations [PDF]

Open Communications in Nonlinear Mathematical Physics
In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero, Decio Levi, Christian Scimiterna   +2 more
doaj   +1 more source

Well-posedness and maximum principles for lattice reaction-diffusion equations

Advances in Nonlinear Analysis, 2017
Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín, Stehlík Petr, Volek Jonáš   +2 more
doaj   +1 more source

Existence and Nonexistence of Periodic Solutions for a Class of Fourth‐Order Partial Difference Equations

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
wiley   +1 more source

Entire solutions of some Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
In this paper, we consider Fermat-type functional equations of the formF2(z)+G2(z)=exp(c1z1+c2z2+c0), $${F}^{2}\left(z\right)+{G}^{2}\left(z\right)=\mathrm{exp}\left({c}_{1}{z}_{1}+{c}_{2}{z}_{2}+{c}_{0}\right),$$
Chakraborty Gorachand, Ahamed Molla Basir, Gorai Amiya   +2 more
doaj   +1 more source

Treatment of moderate‐to‐severe canine atopic dermatitis with modified‐release mycophenolate (OKV‐1001): A pilot open‐label, single‐arm multicentric clinical trial

Veterinary Dermatology, Volume 35, Issue 6, Page 652-661, December 2024.
Background – Mycophenolate is an immunomodulating agent successfully used for the treatment of moderate‐to‐severe atopic dermatitis (AD) in people. Mycophenolate is an effective steroid‐sparing treatment option for use in dogs with inflammatory skin diseases.
Michael Klotsman, Wayne H. Anderson, Danielle Wyatt, Tom Lewis, Natalie Theus, Domenico Santoro   +5 more
wiley   +1 more source

Integrable discretisations and Yang–Baxter maps for super nonlinear Schrödinger systems

Nuclear Physics B
We construct an integrable Grassmann-extended vertex-bond discrete system, which can be restricted to the Grassmann-extended Adler–Yamilov system of partial difference equations, and we derive a Darboux matrix and a Bäcklund transformation for the latter.
Sotiris Konstantinou-Rizos
doaj   +1 more source

On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials

Demonstratio Mathematica
This paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra, Alqurashi Taghreed, Khan Waseem Ahmad, Wani Shahid Ahmad, Oros Georgia Irina   +4 more
doaj   +1 more source

Globally asymptotical stability on delay reaction–diffusion equation involving nonlinear density-dependent mortality

Advances in Nonlinear Analysis
In this paper, we study a class of delay reaction–diffusion equations (DRDEs), including the modified Nicholson’s blowflies model with nonlinear density-dependent mortality.
Huang Chuangxia, Liu Bingwen, Ding Xiaodan   +2 more
doaj   +1 more source

On a class of nonlinear discrete problems of Kirchhoff type

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, BERRAJAA, Mohammed, BARGHOUTHE, Mohammed   +2 more
core   +1 more source

Homoclinic solutions in periodic partial difference equations

Advances in Nonlinear Analysis
By 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
doaj   +1 more source