Results 31 to 40 of about 451 (136)
Asymptotic proximity to higher order nonlinear differential equations
Advances in Nonlinear Analysis, 2022 The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations.
Astashova Irina +3 more
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Delayed Parasitism and Population Cycles in Mosquito–Water Mite Systems
Complexity, Volume 2026, Issue 1, 2026.This study uses a delay differential equation (DDE) model that takes into account both parasitism and predation effects to examine the dynamic interactions between water mites and mosquito populations. The proposed DDE model uniquely captures the dual ecological role of water mites as both parasites and predators of mosquitoes through biologically ...
Dipesh +4 more
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Impact of Grid Strength on the Transient Dynamics of Droop‐ and VSM‐Based Grid‐Forming Converters
International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.With the increasing use of converter‐based resources, it has become more crucial to comprehend the dynamic interaction between grid‐forming (GFM) control strategies and power system transients under different grid strengths. The transient performance of droop‐controlled and virtual synchronous machine (VSM)–based GFM converters exposed to significant ...
Qusay Salem +2 more
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Electronic Journal of Differential Equations, 2007 In this paper sufficient conditions are obtained so that every solution of $$ (y(t)- p(t)y(t-au))'+ Q(t)G(y(t-sigma))-U(t)G(y(t-alpha)) = f(t) $$ tends to zero or to $pm infty$ as $t$ tends to $infty$, where $au ,sigma ,alpha$ are positive real numbers, $
Prayag Prasad Mishra +2 more
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Oscillatory properties of fourth order nonlinear difference equations with quasidifferences [PDF]
Opuscula Mathematica, 2006 In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
Ewa Schmeidel +2 more
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Global attractivity without stability for Liénard type systems
International Journal of Mathematics and Mathematical Sciences, 2001 We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable.
Marian Mureşan
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 We examine scalar differential equations with a general piecewise constant argument, in short DEPCAG, that is, the argument is a general step function. Criteria of existence of the oscillatory and nonoscillatory solutions of such equations are proposed ...
Kuo-Shou Chiu
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Unusual Nonpolynomial Van der Pol Oscillator Equations With Exact Harmonic and Isochronous Solutions
International Journal of Analysis and Applications, 2022 We do not know Van der Pol-type equations with nonlinear restoring force having explicitly an exact periodic solution. We present, for the first time, nonpolynomial Van der Pol oscillator equations that do not satisfy the classical existence theorems. We
Kolawolé Kêgnidé Damien Adjaï +3 more
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Numerical and Analytical Solutions for a Nonlinear System
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates two nonlinear reaction–diffusion systems: (i) a spatially extended competitive species model and (ii) the FitzHugh–Nagumo system, which serves as a canonical model of excitable media. For the first system, we derive exact closed‐form solutions using the exponential function method; these solutions exhibit spatially periodic ...
Badran Jasim Salim +2 more
wiley +1 more source
Asymptotic behaviour of solutions to $n$-order functional differential equations
Electronic Journal of Differential Equations, 2005 We establish conditions for the linear differential equation $$ y^{(n)}(t)+p(t)y(g(t))=0 $$ to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations.
Seshadev Padhi
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