Results 41 to 50 of about 2,136 (215)
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
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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
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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 ′
Elbert, A., Stavroulakis, I. P.
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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
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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
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Nonoscillation of a class of neutral differential equations
Computers & Mathematics with Applications, 2002 This paper deals with \(n\)th-order neutral differential equations of the form \[ (x(t)-x(t-\tau))^{(n)}+p(t)x(t-\sigma)=0, \] where \(n\) is an odd number, \(\tau>0, \sigma\in \mathbb{R}\), \(p\in C([0, \infty), [0, \infty))\). The authors establish a complete classification of nonoscillatory solutions of the equation and find conditions for each type
Kong, Qingkai +2 more
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Application of De La Vallée Poussin Type Inequalities to Half‐Linear Euler Type Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9332-9339, 30 May 2025.ABSTRACT The paper is devoted to the application of de la Vallée Poussin type inequalities to half‐linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented.
Zuzana Pátíková
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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
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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
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The oscillation/nonoscillation of nonlinear difference equations
Mathematical and Computer Modelling, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Mingshu, Ge, Weigao, Xu, Qianli
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