Results 51 to 60 of about 334 (177)
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
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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
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ON THE OBSERVABILITY AND STATE ESTIMATION IN A CLASS OF GENE-EXPRESSION SYSTEM
Dynamic systems and applications, 2018 The failure of available physical sensors for the online measurement of protein concentration in cells is a key problem to understanding the transition in bio-systems.
R. Aguilar‐López, J. Mata-Machuca
semanticscholar +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 +2 more
doaj +1 more source
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 +11 more
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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
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, 2016 Our aim in this piece of work is to demonstrate the power of Laplace Adomian decomposition method in approximating the solution of nonlinear differential equations governing stagnation point flow over a stretching sheet with Newtonian heating.
M. Mageswari, M. Nirmala
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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
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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 +2 more
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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 +4 more
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