Results 41 to 50 of about 182 (154)

A Simple Expansion‐Based HPM for Cubic–Quintic Damped Nonlinear Oscillator

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In the present article, a new amplitude expansion–based homotopy perturbation method (AE‐HPM) is used to study the nonlinear behavior of a damped oscillator. The traditional homotopy perturbation method is extended, considering a simple amplitude expansion to determine the solution and amplitude frequency relationship for the damped nonlinear system ...
Nazmul Sharif, Kartik Ariyur
wiley   +1 more source

Existence and nonexistence of entire solutions to the logistic differential equation

Abstract and Applied Analysis, Volume 2003, Issue 17, Page 995-1003, 2003., 2003
We consider the one‐dimensional logistic problem (rαA(|u′|)u′) ′=rαp(r)f(u) on (0, ∞), u(0) > 0, u′(0) = 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0, ∞). The framework includes the case where f and p are continuous and positive on (0, ∞), f(0) = 0, and f is nondecreasing.
Marius Ghergu, Vicenţiu Rădulescu
wiley   +1 more source

Effect of a ceruminolytic ear cleaner on clinical, microbiological and ear canal microbiome evolution in canine erythemato‐ceruminous otitis externa associated with proliferation of Malassezia yeasts

Veterinary Dermatology, Volume 36, Issue 5, Page 668-678, October 2025.
Background – Erythemato‐ceruminous otitis externa (ECOE) is commonly associated with Malassezia spp. and microbial imbalance. Hypothesis/Objective – To assess the clinical performance of an ear cleaner in dogs suffering from ECOE associated with Malassezia spp. overgrowth and to measure its impact on the microbiota. Conclusions and Clinical Relevance –
Amaury Briand, Emmanuel Bensignor, Hélène Dropsy, Odile Crosaz, Louis Humeau, Justine Cheval, Vanessa Demontant, Melissa N. Debi, Oscar Fantini, Hélène Dal, Jacques Guillot, Noelle Cochet Faivre   +11 more
wiley   +1 more source

The generalized Turner‐Bradley‐Kirk‐Pruitt equation

International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 73-80, 2002., 2002
Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner‐Bradley‐Kirk‐Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The chief novelty consists in exploiting the value set of the equation, that is, the set of values taken on
Ray Redheffer
wiley   +1 more source

New transform iterative method for solving some Klein-Gordon equations

Results in Physics, 2018
In this study, we treat some Klein-Gordon equations (KGEs). We propose a novel iterative approach called the Elzaki iterative method (EIM). This method, which clearly depends on the choice of the initial values, is based on the new iteration method (NIM)
Aisha Abdullah Alderremy, Tarig M. Elzaki, Mourad Chamekh   +2 more
doaj   +1 more source

An Analysis of Controllability Criteria for Higher‐Order Caputo Fractional Differential Systems With State and Control Delays

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam, Venkatesan Govindaraj, Raaid Alubady, Sina Etemad, Deepali   +4 more
wiley   +1 more source

Ordinary differential systems describing hysteresis effects and numerical simulations

Abstract and Applied Analysis, Volume 7, Issue 11, Page 563-583, 2002., 2002
We consider a general class of ordinary differential systems which describes input‐output relations of hysteresis types, for instance, play or stop operators. The system consists of two first‐order nonlinear ODEs and one of them includes a subdifferential operator depending on the unknowns.
Emil Minchev, Takanobu Okazaki, Nobuyuki Kenmochi   +2 more
wiley   +1 more source

Transformation of p-gradient flows to p′-gradient flows in metric spaces

Analysis and Geometry in Metric Spaces
We explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function and the associated metric space satisfy a suitable convexity condition ...
Shimoyama Sho
doaj   +1 more source

Some applications of the modified (G′/G2)-expansion method in mathematical physics

Results in Physics, 2019
This study proposes a modified (G′/G2)-expansion method to seek new more general exact traveling wave solutions to nonlinear evolution equations (NLEEs).
Noufe H. Aljahdaly
doaj   +1 more source

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

Alexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi, Abdon Atangana, Ali Akgul   +2 more
doaj   +1 more source