Results 41 to 50 of about 494 (181)
Monotonicity conditions in oscillation to superlinear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider the second order differential equation \[ \bigl(a(t)|x^{\prime}|^{\alpha}\operatorname{sgn\,}x^{\prime}\bigr)^{\prime }+b(t)|x|^{\beta}\operatorname{sgn\,}x=0 \] in the super-linear case ...
Zuzana Dosla, Mauro Marini
doaj +1 more source
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
doaj +1 more source
Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations [PDF]
Symmetry, 2019 For a class of nonlinear higher-order neutral dynamic equations on a time scale, we analyze the existence and asymptotic behavior of nonoscillatory solutions on the basis of hypotheses that allow applications to equations with different integral convergence and divergence of the reciprocal of the coefficients.
Yang-Cong Qiu +3 more
openaire +1 more source
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
Electronic Journal of Differential Equations, 2020 In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation $$ \Delta^{2}\big(y_n-p_n L(y_{n-s})\big) + q_nG(y_{n-k})=0, $$ and all unbounded solutions of the neutral difference equation $$ \Delta^{2}
Ajit Kumar Bhuyan +2 more
doaj
NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENCE EQUATIONS WITH OSCILLATING COEFFICIENTS
Demonstratio Mathematica, 2003 Using the analogy with differential equations with deviated argument the authors study non-oscillatory solutions of the scalar equation \[ \Delta y_k = P^o_ky_k + \sum_1^nP^i_ky_{k-K^i_k} \] with bounded coefficients satisfying an oscillation condition.
Bolat, Yaşar, Akin, Ömer
openaire +2 more sources
Asymptotic properties of nonoscillatory solutions of differential equations with deviating argument [PDF]
Pacific Journal of Mathematics, 1977 Pacific Journal of ...
Philos, Ch. G., Sta\\\"\i\\"kos, V. A.
openaire +4 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The present paper addresses the numerical computation of singularly perturbed differential equations incorporating small negative shift parameters in the convection and reaction terms. Since the diffusion term is scaled by a sufficiently small parameter ε(0 < ε ≪ 1), the solution typically develops multiscale characteristics manifested through boundary
Amare Worku Demsie +3 more
wiley +1 more source
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
doaj
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
doaj +1 more source