Results 101 to 110 of about 4,284 (195)
Nonoscillatory half-linear difference equations and recessive solutions
Advances in Difference Equations, 2005 This paper is concerned with recessive and dominant solutions for the nonoscillatory second-order half-linear difference equations \[ \Delta(a_{n}\Phi(x_{n}))+b_{n}\Phi(x_{n+1})=0, \] where \(\Delta x_{n}=x_{n+1}-x_{n}\), \(\Phi(u)=| u| ^{p-2}u\) with \(p>1\), and \(\{a_{n}\},\{b_{n}\}\) are positive real sequences for \(n\geq1\). By using a uniqueness
M. CECCHI, Z. DOSLA, MARINI, MAURO
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, 2014 We observe that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions.
Bremer, James +2 more
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Nonoscillatory Solutions of Second Order Differential Equations with Integrable Coefficients [PDF]
Proceedings of the American Mathematical Society, 1990 The asymptotic behavior of nonoscillatory solutions of the equation x + a ( t ) | x | γ sgn x = 0 , γ > 0 x + a\left ( t
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions
, 2007 Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B. +1 more
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Families of Bragg-grating solitons in a cubic-quintic medium
, 2001 We investigate the existence and stability of solitons in an optical waveguide equipped with a Bragg grating (BG) in which nonlinearity contains both cubic and quintic terms. The model has straightforward realizations in both temporal and spatial domains,
Aceves +22 more
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Journal of Numerical Analysis and Approximation Theory, 2012 In this paper, we establish several necessary and sufficient conditions for oscillation of the solutions of the following even order differential equation\[x^{(n)}(t) + q(t)x^\gamma (t) = 0, \quad \mbox{$n$ is even},\]where \( q(t) \in C([t_0 ,\infty ),{\
Cheng Jin-Fa, Chu Yu-Ming
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NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH OSCILLATING COEFFICIENTS
Demonstratio Mathematica, 1992 Nonoscillatory solutions of delay differential equations with oscillatory coefficients of the form \[ y'(t)+P_ 0(t)y(t)+\sum_{i=1}^ n P_ i(t)y(t-T_ i(t))=0\tag{1} \] are considered. The main results are: Theorem 1. Consider differential equation (1), where \(P_ 0(t)\), \(P_ i(t)\) and \(T_ i(t)\) are continuous functions such that \(| P_ 0(t)|\leq P_ 0\
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Abstract and Applied Analysis, 2013 Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
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Low-distortion information propagation with noise suppression in swarm networks. [PDF]
Proc Natl Acad Sci U S A, 2023 Tiwari A, Devasia S, Riley JJ.
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Analytical Study of the Tumbling Motions of Vehicles Entering Planetary Atmospheres [PDF]
The tumbling motion of vehicles entering planetary atmospheres is analyzed. A differential equation governing the tumbling motion, its arrest, and the subsequent oscillatory motion is obtained and identified as the equation for the fifth Painleve ...
Tobak, Murray
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