Results 1 to 10 of about 727,614 (177)
Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
Mathematics, 2022 The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
Barakah Almarri +3 more
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The Hellmann–Feynman theorem, the comparison theorem, and the envelope theory
Results in Physics, 2015 The envelope theory is a convenient method to compute approximate solutions for bound state equations in quantum mechanics. It is shown that these approximate solutions obey a kind of Hellmann–Feynman theorem, and that the comparison theorem can be ...
Claude Semay
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 The theory of $u_{0}$-positive operators with respect to a cone in a Banach space is applied to the linear differential equations $u^{(4)}+\lambda_{1} p(x)u=0$ and $u^{(4)}+\lambda_{2} q(x)u=0$, $0\leq x\leq 1$, with each satisfying the boundary ...
Jeffrey Neugebauer
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Comparison theorem for oscillation of fourth-order nonlinear retarded dynamic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This work is concerned with oscillation of a class of fourth-order nonlinear delay dynamic equations on a time scale. A new comparison theorem is established that improves related results reported in the literature.
Chenghui Zhang +2 more
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Entropy, 2021 With the development of wireless sensor networks (WSNs), energy constraints and network security have become the main problems. This paper discusses the dynamic of the Susceptible, Infected, Low-energy, Susceptible model under pulse charging (SILS-P) in ...
Guiyun Liu +5 more
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Proceedings of the American Mathematical Society, 1976 A general comparison theorem is extracted from the proof of a recent comparison theorem of Leighton and Oo Kian Ke. The result is applied to a comparison theorem for focal points.
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Synchronization in Fractional-Order Complex-Valued Delayed Neural Networks
Entropy, 2018 This paper discusses the synchronization of fractional order complex valued neural networks (FOCVNN) at the presence of time delay. Synchronization criterions are achieved through the employment of a linear feedback control and comparison theorem of ...
Weiwei Zhang +3 more
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Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations [PDF]
Opuscula MathematicaThe aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation ...
Petr Hasil +2 more
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New oscillation results to fourth order delay differential equations with damping
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with the oscillation of the linear fourth order delay differential equation with damping \begin{equation*} \left(r_3(t)\left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'\right)'+p(t)y'(t)+q(t)y(\tau(t))=0 \end{equation*} under the ...
Jozef Džurina +2 more
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Axioms, 2022 This article revisits the stability property of a symbiotic model of commensalism with Michaelis–Menten type harvesting in the first commensal populations.
Lili Xu +3 more
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