Results 51 to 60 of about 1,593 (172)
The oscillation/nonoscillation of nonlinear difference equations
Mathematical and Computer Modelling, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Mingshu, Ge, Weigao, Xu, Qianli
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A precise asymptotic description of half‐linear differential equations
Mathematische Nachrichten, Volume 297, Issue 4, Page 1275-1309, April 2024.Abstract We study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
Pavel Řehák
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Suppressing Numerical Oscillation for Nonlinear Hyperbolic Equations by Wavelet Analysis
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 In the numerical solution for nonlinear hyperbolic equations, numerical oscillation often shows and hides the real solution with the progress of computation. Using wavelet analysis, a dual wavelet shrinkage procedure is proposed, which allows one to extract the real solution hidden in the numerical solution with oscillation.
Yong Zhao +4 more
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Journal of Sensors, Volume 2018, Issue 1, 2018., 2018 The intensive pulse sound wave can be generated by the underwater plasma sound source (UPSS) based on the discharge of the underwater high voltage. The distribution of the sound field is prominently nonlinear. In this paper, the sound field of the intensive UPSS is described by the integral two‐dimensional axisymmetric unsteady Euler equations firstly.
Kaizhuo Lei +4 more
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Advanced impulsive differential equations with piecewise constant arguments
Mathematical Modelling and Analysis, 2010 We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments.
Hüseyin Bereketoglu +2 more
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Functional Inequalities: New Perspectives and New Applications [PDF]
, 2012 This book is not meant to be another compendium of select inequalities, nor does it claim to contain the latest or the slickest ways of proving them.
Amir Moradifam +2 more
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Oscillation of solutions of some generalized nonlinear α-difference equations [PDF]
, 2014 In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-difference equation Δα(ℓ)(p(k)Δα(ℓ)u(k))+q(k)f(u(k−τ(k)))=0,(1) k∈[a,∞), where the functions p, q, f and τ are defined in their domain of definition and α>1,
Adem Kılıçman +3 more
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Existence of Solutions to Boundary Value Problems for a Fourth‐Order Difference Equation
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 In this article, some new existence criteria of at least one solution to boundary value problems for a fourth‐order difference equation are obtained by using the critical point theory. In a special case, a necessary and sufficient condition for the existence and uniqueness of solution is also established. An example of the main result is given.
Xia Liu +3 more
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Nonoscillation theorems for functional differential equations of arbitrary order
International Journal of Mathematics and Mathematical Sciences, 1984 The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations.
John R. Graef +5 more
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On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum [PDF]
, 2004 We present a new oscillation criterion to determine whether the number of eigenvalues below the essential spectrum of a given Jacobi operator is finite or not.
Luef, Franz, Teschl, Gerald
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