Results 21 to 30 of about 941 (76)
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
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
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 +2 more
wiley +1 more source
Veterinary Dermatology, EarlyView.ABSTRACT Background Recurrent otitis externa (OE) episodes commonly affect dogs with canine atopic dermatitis (cAD) despite ongoing cAD treatment. Objective To determine if a therapeutic diet with active ingredients targeting the skin barrier and allergy pathways reduces the incidence rate of OE.
Adrian Watson +5 more
wiley +1 more source
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley +1 more source
A Comparative Study of the Pendulum Equation Using Two Analytical Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif +2 more
wiley +1 more source
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
wiley +1 more source
Extension of the method of quasilinearization for stochastic initial value problems
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 69-75, 1995., 1994 In this paper we extend the method of quasilinearization to stochastic initial value problems. Further we prove that the iterates converge uniformly almost surely to the unique solution and the convergence is quadratic.
N. Shahzad, Farzana A. McRae
wiley +1 more source
Optimal vaccine allocation for the control of sexually transmitted infections. [PDF]
J Math Biol, 2023 Saldaña F +4 more
europepmc +1 more source