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Oscillation criteria for delay equations [PDF]
Proceedings of the American Mathematical Society, 2000 Summary: This paper is concerned with the oscillatory behavior of first-order delay differential equations of the form \[ x'(t)+p(t)x({\tau}(t))=0, \quad t\geq t_{0},\tag{1} \] with \(p, {\tau} \in C([t_{0}, \infty), \mathbb{R}^+)\), \(\mathbb{R}^+=[0, \infty), \tau(t)\) is nondecreasing, \(\tau(t)
Kon, M. +2 more
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Oscillation Criteria for the Sublinear Schrodinger Equation [PDF]
Proceedings of the American Mathematical Society, 1982 In this paper, we propose an oscillation theorem to the sublinear Emden-Fowler equation Δ ...
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Some comparison criteria in oscillation theory [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractThe purpose of this paper is to establish comparison criteria, by which the oscillatory and asymptotic behavior of linear retarded differential equations of arbitrary order is inherited from the oscillation of an associated second order linear ordinary differential equation.
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Oscillation criteria for second order nonlinear differential equations [PDF]
, 2006 summary:Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation \[ u^{\prime \prime }(t)+p(t)f\big (u(g(t))\big )=0\,.
Baculíková, Blanka
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Oscillation Criteria for Second-order Dynamic Equations on Time Scales [PDF]
, 2014 Erbe\u27s and Hassan\u27s contributions regarding oscillation criteria are interesting in the development of oscillation theory of dynamic equations on time scales. The objective of this paper is to amend these results. © 2014 Elsevier Ltd.
Bohner, Martin +3 more
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Oscillation Criteria in Higher Order Neutral Equations
Journal of Mathematical Analysis and Applications, 1994 The paper deals with oscillatory criteria for the solutions of a scalar higher order neutral equation of mixed type (with delayed and advanced arguments), with constant coefficients. As a main result, the classical characterization of oscillations by the characteristic equation is extended to such equations.
Bilchev, S. J. +2 more
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Oscillation criteria for third-order functional half-linear dynamic equations
Advances in Difference Equations, 2017 In this paper, we study the third-order functional dynamic equation { r 2 ( t ) ϕ α 2 ( [ r 1 ( t ) ϕ α 1 ( x Δ ( t ) ) ] Δ ) } Δ + q ( t ) ϕ α ( x ( g ( t ) ) ) = 0 , $$ \bigl\{ r_{2}(t)\phi_{\alpha_{2}} \bigl( \bigl[ r_{1}(t) \phi _{\alpha _{1}} \bigl(
Taher S Hassan +2 more
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Oscillation criteria of certain fractional partial differential equations
Advances in Difference Equations, 2019 In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives technique with the addition of interval segmentation
Di Xu, Fanwei Meng
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Effective Prüfer angles and relative oscillation criteria
Journal of Differential Equations, 2008 22 ...
Krüger, Helge, Teschl, Gerald
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Mathematics, 2022 In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive ...
Ali Muhib +5 more
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