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Spectral and oscillation theory for general second order Sturm-Liouville difference equations [PDF]
Advances in Difference Equations, 2012 Abstract In this article we establish an oscillation theorem for second order Sturm-Liouville difference equations with general nonlinear dependence on the spectral parameter λ. This nonlinear dependence on λ is allowed both in the leading coefficient and in the potential. We extend the traditional notions of eigenvalues and eigenfunctions to
Roman Šimon Hilscher
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Asymptotic solutions of forced nonlinear second order differential equations and their extensions
Electronic Journal of Differential Equations, 2007 Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Angelo B. Mingarelli, Kishin Sadarangani
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Rhythm motion control in bio‐inspired fishtail based on central pattern generator
IET Cyber-systems and Robotics, 2021 The elastic oscillation structure based on central pattern generators (CPGs), which can produce rhythmic motions, is discussed. First, Hopf CPG, the typical CPG model, being a signal generator for the elastic oscillation structure, is analysed via the ...
Song Chen +3 more
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Micromachines, 2020 The article is devoted to the development and creation of a multiphysics simulator that can, on the one hand, simulate the most significant physical processes in the IPMC actuator, and on the other hand, unlike commercial products such as COMSOL, can use
Anton P. Broyko +5 more
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Oscillation results for certain fractional difference equations
Journal of Hebei University of Science and Technology, 2017 Fractional calculus is a theory that studies the properties and application of arbitrary order differentiation and integration. It can describe the physical properties of some systems more accurately, and better adapt to changes in the system, playing an
Zhiyun WANG, Shujuan LIU, Qiaoluan LI
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OSCILLATION THEORY FOR A CLASS OF SECOND ORDER QUASILINEAR DIFFERENCE EQUATIONS
Tamkang Journal of Mathematics, 1997 In this paper the authors establish necessary and sufficient conditons for the second order quasilinear difference equation \[\Delta (\alpha_n(\Delta y_n)^{\alpha*})+f(n, y_{n+1})=0\qquad\qquad n\in N(n_0)\qquad\qquad \text{(E)}\] to have various types of nonoscillatory solutions. In addition, in the case when (E) is either strongly superlinear
Thandapani, E., Arul, R.
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Relative oscillation theory for matrix Sturm-Liouville difference equations extended [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
, 2006 The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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Tamkang Journal of Mathematics, 1995 This paper is concerned with several direct control systems which are described by partial difference equations. By means of an averaging technique and several oscillation criteria for ordinary recurrence relations, we are able to establish several oscillation criteria for these control systems.
Cheng, Sui Sun +2 more
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Black Hole Hair Removal: Non-linear Analysis [PDF]
, 2009 BMPV black holes in flat transverse space and in Taub-NUT space have identical near horizon geometries but different microscopic degeneracies. It has been proposed that this difference can be accounted for by different contribution to the degeneracies of
A Sen +29 more
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