Results 41 to 50 of about 1,593 (172)
Nonoscillation properties of a nonlinear differential equation [PDF]
Proceedings of the American Mathematical Society, 1971 Sufficient conditions are given for the approach to zero of all nonoscillatory solutions of ( p ( t ) x ′ ) ′ + q ( t ) g ( x ) = f ( t ) (p(t)x’)’ + q(t)g(x ...
openaire +1 more source
Oscillation and nonoscillation criteria for delay differential equations [PDF]
Proceedings of the American Mathematical Society, 1995 Oscillation and nonoscillation criteria for the first-order delay differential equation \[ x ′ ( t ) + p ( t ) x ( τ ( t ) ) = 0 , t ≥ t 0
Elbert, A., Stavroulakis, I. P.
openaire +2 more sources
Hille–Nehari type criteria and conditionally oscillatory half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study perturbations of the generalized conditionally oscillatory half-linear equation of the Riemann–Weber type. We formulate new oscillation and nonoscillation criteria for this equation and find a perturbation such that the perturbed Riemann–Weber ...
Simona Fišnarová, Zuzana Pátíková
doaj +1 more source
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 In this paper, we discuss a class of fractional differential equations of the form D-α+1y(t)·D-αy(t)-p(t)f(D-αy(t))+q(t)h∫t∞(s-t) -αy(s)ds=0.D-αy(t) is the Liouville right‐sided fractional derivative of order α ∈ (0,1). We obtain some oscillation criteria for the equation by employing a generalized Riccati transformation technique.
Hui Liu, Run Xu, Chris Goodrich
wiley +1 more source
Results in Applied MathematicsIn this study, we investigate the use of damped linear dynamic equations with the conformable derivative on time scales to provide sufficient conditions to guarantee nonoscillation for nontrivial solutions of both ordinary differential and discrete ...
Kazuki Ishibashi
doaj +1 more source
On the nonoscillatory behavior of solutions of three classes of fractional difference equations [PDF]
Opuscula Mathematica, 2020 In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds.
Said Rezk Grace +4 more
doaj +1 more source
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 A Lax‐Wendroff‐type procedure with the high order finite volume simple weighted essentially nonoscillatory (SWENO) scheme is proposed to simulate the one‐dimensional (1D) and two‐dimensional (2D) shallow water equations with topography influence in source terms.
Changna Lu +3 more
wiley +1 more source
Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This paper addresses the existence of bounded solutions for second‐order nonlinear delay differential equations. It presents new sufficient conditions to demonstrate that the solutions are bounded by decreasing functions. Additionally, an example is provided to validate the applicability of these conditions.
Mohammed Jasim Fadhil +2 more
wiley +1 more source
Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit
Complexity, Volume 2018, Issue 1, 2018., 2018 The dynamics of a simple autonomous jerk circuit previously introduced by Sprott in 2011 are investigated. In this paper, the model is described by a three‐time continuous dimensional autonomous system with an exponential nonlinearity. Using standard nonlinear techniques such as time series, bifurcation diagrams, Lyapunov exponent plots, and Poincaré ...
G. H. Kom +5 more
wiley +1 more source
On slow oscillation and nonoscillation in retarded equations
International Journal of Mathematics and Mathematical Sciences, 1979 Sufficient conditions have been found to ensure that all oscillatory solutions of (r(t)y′(t))′+a(t)y(t−ξ(t))=f(t) are slowly oscillating. This behaviour is further linked to nonoscillation.
Bhagat Singh
doaj +1 more source