Nonoscillation of First-Order Dynamic Equations with Several Delays [PDF]
Advances in Difference Equations, 2010 For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the ...
Karpuz Başak, Braverman Elena
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On positiveness of the fundamental solution for a linear autonomous differential equation with distributed delay [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We present necessary and sufficient conditions for the nonoscillation of the fundamental solutions to a linear autonomous differential equation with distributed delay. The conditions are proposed in both the analytic and geometric forms.
Tatyana Sabatulina, Vera Malygina
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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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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.
Shmuel Friedland
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Nonoscillation of higher order half-linear differential equations [PDF]
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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Nonoscillations in retarded systems
Journal of Mathematical Analysis and Applications, 2005 Consider the equation \[ x(t)+ \int^0_{-1} d[\nu(\theta)]x(t- r(\theta))= 0,\tag{1} \] where \(x(t)\in \mathbb{R}^n\), \(r\in C([-1,0], \mathbb{R}_+)\), and \(\nu(\theta)\) is a real \(n\times n\) matrix valued function of bounded variation on \([-1, 0]\).
J.M. Ferreira, Sandra Pinelas
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Local estimates for modified Riccati equation in theory of half-linear differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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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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On oscillation and nonoscillation of second-order dynamic equations
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Zafer
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On the nonoscillation of perturbed functional-differential equations [PDF]
Pacific Journal of Mathematics, 1979 John R. Graef +4 more
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