Results 61 to 70 of about 337,037 (167)
Electronic Journal of Differential Equations, 2011 We establish sufficient conditions for controllability of neutral impulsive stochastic quasilinear integrodifferential systems with nonlocal conditions in Hilbert spaces.
Krishnan Balachandran, Ravikumar Sathya
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A nonlinear neutral periodic differential equation
Electronic Journal of Differential Equations, 2010 In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel'skii's fixed point theorem for the sum of a completely continuous operator and a ...
Eric R. Kaufmann
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Oscillation of solutions of neutral differential equations with a superlinear neutral term
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoyan Lin, X. H. Tang
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Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation
Advances in Difference Equations, 2010 The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
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Controllability of nonlinear stochastic neutral fractional dynamical systems
Nonlinear Analysis, 2017 In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic ...
Mabel Lizzy Rajendran +2 more
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Oscillations in Higher-Order Neutral Differential Equations
Canadian Journal of Mathematics, 1993 AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on
Philos, C. G. +2 more
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Some Oscillatory Results of Nonlinear Neutral Differential Equation
Ibn Al-Haitham Journal for Pure and Applied SciencesIn the last decades, functional differential equations have attracted the attention of many researchers; they were interested in the theory and its applications.
Zahrah Abdul abbas Hussein +1 more
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Existence of non-oscillatory solutions to higher-order mixed difference equations
Electronic Journal of Differential Equations, 2007 In this paper, we consider the higher order neutral nonlinear difference equation$$displaylines{ Delta^{m}(x(n)+p(n)x(au(n)))+f_1(n,x(sigma_{1}(n))) -f_2(n,x(sigma_{2}(n)))=0, cr Delta^{m}(x(n)+p(n)x(au(n)))+f_1(n,x(sigma_{1}(n))) -f_2(n,x(sigma_{2}(n)))=
Qiaoluan Li +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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A Class of Neutral Equations with the Fixed Point Property [PDF]
Proceedings of the National Academy of Sciences, 1970 For a neutral functional differential equation with a stable operator, D, it is shown that the solution operator is the sum of a contraction and a completely continuous operator.
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