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 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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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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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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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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New nonoscillation criteria for delay differential equations
Journal of Mathematical Analysis and Applications, 2004 The authors consider first-order delay differential equations of the form \[ x'(t)+p(t)x(\tau(t))=0,\quad t\geq t_0, \] where \(p, \tau\in C([t_0, \infty), [0, \infty)), \tau(t)\) is nondecreasing, \(\tau(t)
Xianhua Tang
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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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Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation [PDF]
, 2017 Producción CientíficaWe analyze the presence of exponential dichotomy (ED) and of global existence of Weyl functions $M^\pm$ for one-parametric families of finite-dimensional nonautonomous linear Hamiltonian systems defined along the orbits of a compact ...
Núñez Jiménez, María del Carmen +1 more
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Global constraints on absolute neutrino masses and their ordering [PDF]
, 2017 Within the standard three-neutrino framework, the absolute neutrino masses and their ordering (either normal, NO, or inverted, IO) are currently unknown.
Capozzi, Francesco +5 more
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