Results 21 to 30 of about 53 (49)

Fractional modelling arising in unidirectional propagation of long waves in dispersive media

open access: yesAdvances in Nonlinear Analysis, 2016
The purpose of this paper is to propose a modified and simple algorithm for fractional modelling arising in unidirectional propagation of long wave in dispersive media by using the fractional homotopy analysis transform method (FHATM).
Kumar Sunil   +2 more
doaj   +1 more source

New singular solutions of Protter′s problem for the 3D wave equation

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 4, Page 315-335, 2004., 2004
In 1952, for the wave equation,Protter formulated some boundary value problems (BVPs), which are multidimensional analogues of Darboux problems on the plane. He studied these problems in a 3D domain Ω0, bounded by two characteristic cones Σ1 and Σ2,0 and a plane region Σ0. What is the situation around these BVPs now after 50 years?
M. K. Grammatikopoulos   +2 more
wiley   +1 more source

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 663-672, 1992., 1991
In this paper coupled implicit initial‐boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
Lucas Jódar
wiley   +1 more source

Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method

open access: yes, 2022
In this paper, we have obtained an approximate solution ofmulti-term Caputo fractional differential equations (MFDEs) using theVariational iteration method (VIM).
Vikas S. Jadhav; Department of Mathematics, Nowrosjee Wadia College Pune   +3 more
core  

Algebraic Lower Bounds on the Spatial Analyticity Radius for Higher Order Nonlinear Schrödinger Equations

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We investigate the initial value problem associated to the higher order nonlinear Schrödinger equation i∂tu+−1j+1∂x2ju=u2ju x,t≠0∈ℝ,ux,0=u0x, where j ≥ 2 is any integer, u is a complex valued function, and the initial data u0 is real analytic on ℝ and has a uniform radius of spatial analyticity σ0 in the space variable.
Tegegne Getachew   +3 more
wiley   +1 more source

On the Holomorphic Extension of Solutions of Elliptic Pseudodifferential Equations [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 35B65, 35S05, 35A20.We derive analytic estimates and holomorphic extensions for the solutions of a class of elliptic pseudodifferential equations on ...
Nicola, Fabio, Cappiello, Marco
core  

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

open access: yesVeterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source

Real Bargmann spaces, Fischer decompositions and Sets of uniqueness for polyharmonic functions

open access: yes, 2008
In this paper a positive answer is given to the following question of W.K. Hayman: if a polyharmonic entire function of order k vanishes on k distinct ellipsoids in the euclidean space Rn then it vanishes everywhere.
Render, Hermann, Hermann Render
core   +1 more source

Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
De Donno, Giuseppe   +3 more
core  

Solución aproximada de sistemas diferenciales mixtos

open access: yesIngeniería y Ciencia, 2009
En este artículo se propone encontrar una solución aproximada para problemas de valor en la frontera y problemas de valor inicial de un sistema diferencial utilizando el método de los desarrollos de Fer.
Jorge I. Castaño–Bedoya   +2 more
doaj  

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