Results 61 to 70 of about 2,136 (215)
A remark on the linearization technique in half-linear oscillation theory [PDF]
Opuscula Mathematica, 2006 We show that oscillatory properties of the half-linear second order differential equation \[(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,\] can be investigated via oscillatory properties of a certain associated second order linear ...
Ondřej Došlý
doaj
Oscillation of solutions of some generalized nonlinear α-difference equations [PDF]
, 2014 In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-difference equation Δα(ℓ)(p(k)Δα(ℓ)u(k))+q(k)f(u(k−τ(k)))=0,(1) k∈[a,∞), where the functions p, q, f and τ are defined in their domain of definition and α>1,
Adem Kılıçman +3 more
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Nonoscillation in a delay-logistic equation [PDF]
Quarterly of Applied Mathematics, 1985 Consider the equation \(x'(t)=x(t)(b-\sum^{n}_{j=1}a_ jx(t-\tau_ j),\) \(a_ j\), b, \(\tau_ j\) positive constants, with the initial function \(\phi\) (s)\(\geq 0\), \(\phi (0)>0\). Assume \((\sum^{n}_{j=1}a_ j)x^*\tau \leq 1/e,\) \(x^*=b/(\sum^{n}_{j=1}a_ j)\), \(\tau =\max \tau_ j\). Then there exists a solution such that \(x(t)-x^*\) has no zeros on
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Stochasticity and Non-locality of Time [PDF]
, 2007 We present simple classical dynamical models to illustrate the idea of introducing a stochasticity with non-locality into the time variable. For stochasticity in time, these models include noise in the time variable but not in the "space" variable, which
Agarwal +27 more
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Mixed-type functional differential equations: A numerical approach [PDF]
, 2009 This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Journal of computational and applied mathematics and is available at www.elsevier.comThis preprint discusses mixed-type functional ...
Ford, Neville J., Lumb, Patricia M.
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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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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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Nonoscillation and Oscillation Criteria for a Class of Second-Order Nonlinear Neutral Delay Differential Equations with Positive and Negative Coefficients [PDF]
, 2022 Rongrong Guo +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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