Results 1 to 10 of about 1,531,979 (145)
Necessary and sufficient conditions for oscillation of second-order differential equations with nonpositive neutral coefficients [PDF]
In this work, we present necessary and sufficient conditions for oscillation of all solutions of a second-order functional differential equation of type (r(t)(z'(t))^\gamma)' +\sum_{i=1}^m q_i(t)x^{\alpha_i}(\sigma_i(t))=0, \quad t\geq t_0, where ...
Arun K. Tripathy, Shyam S. Santra
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In continuous applications in electrodynamics, neural networks, quantum mechanics, electromagnetism, and the field of time symmetric, fluid dynamics, neutral differential equations appear when modeling many problems and phenomena.
Shyam Sundar Santra +2 more
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RETRACTED ARTICLE: Second-order impulsive differential systems of mixed type: oscillation theorems
In this paper, we obtain necessary and sufficient conditions for the oscillation of solutions to a second-order neutral differential equation with impulses. Two examples are provided to show the effectiveness and feasibility of the main results. Our main
Shyam Sundar Santra +2 more
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Second-order impulsive differential systems with mixed and several delays
In this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations.
Shyam Sundar Santra +4 more
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Oscillation of Emden–Fowler-Type Neutral Delay Differential Equations
In this work, we consider a type of second-order functional differential equations and establish qualitative properties of their solutions. These new results complement and improve a number of results reported in the literature.
Shyam Sundar Santra +3 more
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Measurements of Bose–Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei.
Márton Nagy +3 more
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In this work, we present some new sufficient conditions for the oscillation of a class of second-order neutral delay differential equation. Our oscillation results, complement, simplify and improve recent results on oscillation theory of this type of non-
Shyam Sundar Santra +2 more
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On the qualitative behavior of the solutions to second-order neutral delay differential equations
Differential equations of second order appear in numerous applications such as fluid dynamics, electromagnetism, quantum mechanics, neural networks and the field of time symmetric electrodynamics.
Shyam Sundar Santra +2 more
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We consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. We use Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence ...
Huanhuan Zhao, Youjun Liu, Jurang Yan
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A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]
Comi GE, Stefani G.
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