Results 1 to 10 of about 138 (46)
Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method of ...
Du Sijia, Zhou Zhan
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Central and local limit theorems for the weighted Delannoy numbers
In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal ...
Belovas Igoris
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Multiple solutions for a class of oscillatory discrete problems
In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
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Background – Nasal hyperkeratosis may cause discomfort in dogs by predisposing to fissures and secondary bacterial infection. Approaches to treatment have been described anecdotally; the effectiveness of such therapies remains unproven. Hypothesis/Objectives – To investigate the efficacy of a balm containing essential oils and essential fatty acids in ...
Mathilde Catarino+4 more
wiley +1 more source
This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj
The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj
High order multiscale analysis of discrete integrable equations [PDF]
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+2 more
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On Non-Point Invertible Transformations of Difference and Differential-Difference Equations [PDF]
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.
arxiv +1 more source
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar+2 more
doaj
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar+2 more
doaj