Nonoscillation of Second-Order Dynamic Equations with Several Delays [PDF]
Abstract and Applied Analysis, 2011 Existence of nonoscillatory solutions for the second-order dynamic equation (A0xΔ)Δ(t)+∑i∈[1,n]ℕAi(t)x(αi(t))=0 for t∈[t0,∞)T is investigated in this paper.
Elena Braverman, Başak Karpuz
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Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations [PDF]
Opuscula Mathematica, 2022 The proportional derivative (PD) controller of a differential operator is commonly referred to as the conformable derivative. In this paper, we derive a nonoscillation theorem for damped linear differential equations with a differential operator using ...
Kazuki Ishibashi
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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019 Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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Study on the oscillation of solution to second-order impulsive systems
AIMS Mathematics, 2023 In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations.
Shyam Sundar Santra +5 more
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Nonoscillation and Eventual Disconjugacy [PDF]
Proceedings of the American Mathematical Society, 1977 If every solution of an nth order linear differential equation has only a finite number of zeros in [ 0 , ∞ ) [0,\infty ) , it is not generally true that for sufficiently large c , c > 0 c,c > 0 , every solution has at most n
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Nonoscillation and integral inequalities [PDF]
Bulletin of the American Mathematical Society, 1974 Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
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Nonoscillation of higher order half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques.
Ondrej Dosly, Vojtěch Růžička
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Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations [PDF]
Opuscula Mathematica, 2014 In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Martin Bohner +2 more
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Some nonoscillation criteria for inclusions [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractNew nonoscillatory criteria are presented for second order differential inclusions. The theory relies on Ky Fan's fixed point theorem for upper semicontinuous multifunctions.
Agarwal, Ravi P. +2 more
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