Results 71 to 80 of about 1,593 (172)
Nonoscillation in nonlinear difference equations
Computers & Mathematics with Applications, 1994 The authors establish some necessary conditions on the nonoscillation of the nonlinear difference equation \(\Delta \psi (\Delta x_{k - 1}) + a_ k \psi (x_ k) = 0\), \(k = 1,2, \dots\), where \(\psi : \mathbb{R} \to \mathbb{R}\) is defined by \(\psi (s) = | s |^{p - 2} s\) with \(p > 1\) a fixed real number, and \(\{a_ k\}^ \infty_ 1\) is a nonnegative
Li, Horng Jaan, Yeh, Cheh Chih
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Generalized reciprocity principle for discrete symplectic systems [PDF]
, 2015 This paper studies transformations for conjoined bases of symplectic difference systems $Y_{i+1}=\mathcal S_{i}Y_{i}$ with the symplectic coefficient matrices $\mathcal S_i.$ For an arbitrary symplectic transformation matrix $P_{i}$ we formulate most ...
Elyseeva, Julia
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Electronic Journal of Differential Equations, 2013 In this article, we investigate the oscillation and nonoscillation of second order nonlinear neutral dynamic equations with retarded and advanced arguments by means of the theory of upper and lower solutions for related dynamic equations along with ...
Xun-Huan Deng, Qi-Ru Wang
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Some generalizations of Calabi compactness theorem [PDF]
, 2011 In this paper we obtain generalized Calabi-type compactness criteria for complete Riemannian manifolds that allow the presence of negative amounts of Ricci curvature.
Bianchini, Bruno +2 more
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On oscillatory behavior of two-dimensional time scale systems
Advances in Difference Equations, 2018 This paper deals with long-time behaviors of nonoscillatory solutions of a system of first-order dynamic equations on time scales. Some well-known fixed point theorems and double improper integrals are used to prove the main results.
Özkan Öztürk
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Complex oscillation and nonoscillation results
Transactions of the American Mathematical Society, 2019 Let \(\mathbb{R}\) be the ring of entire functions, \(f\in\mathbb{R}\) , and let \(\lambda(f)\) and \(\sigma(f)\) denote the exponent of convergence of the zeros of \(f\) and the order of growth of \(f\), respectively. The following questions on the oscillation theory of solutions of the linear differential equation \[ y''+A(z)y=0\quad(A(z)\in\mathbb{R}
Heittokangas, Janne +3 more
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Electronic Journal of Differential Equations, 2016 We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional.
Ondrej Dosly, Vojtech Ruzicka
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OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 In this work, we investigate the oscillation and nonoscillation of a class of second order neutral di erential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest ...
A. K. TRIPATHY, R. R. MOHANTA
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Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term [PDF]
, 2008 2000 Mathematics Subject Classification: 34C10, 34C15.Some new criteria for the oscillation of all solutions of second order differential equations of the form (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0 ...
Elabbasy, E. M., Elhaddad, W. W.
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Tilted excitation implies odd periodic resonances [PDF]
, 2016 This work was supported by the Brazilian agencies FAPESP and CNPq. MSB also acknowledges the Engineering and Physical Sciences Research Council grant Ref. EP/I032606/1. GID thanks Felipe A. C.
Baptista, M. S. +3 more
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