Results 1 to 10 of about 8,329 (95)
Oscillation theory of q-difference equation
Journal of Computational Mathematica, 2021 In this research article, the authors present the oscillation theory of the q-difference equation K(t)y(qt)+k(t/q)y(t/q)= r(t)y(t) where r(t) = k(t)+k(t/q)-q(t) In particular we prove that this q-difference equation is oscillatory or non-oscillatory for different conditions.
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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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Tamkang Journal of Mathematics, 1994 This paper is concerned with a class of nonlinear partial difference equations with delay. By means of an averaging technique, and several oscillation criteria for ordinary recurrence relations, we are able to establish several oscillation criteria for the partial difference equations.
Cheng, Sui Sun, Zhang, Bing-Gen
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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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Delay-difference equations with periodic coefficients: sharp results in oscillation theory [PDF]
Mathematical Inequalities & Applications, 1998 The author considers the delay-difference equation \[ x(n+1)-x(n)+b(n)x(n-k)=0,\quad k\in N,\;b(n)\geq 0,\;n\geq n_0. \tag{1} \] By using the discrete version of Sturmian comparison method, the author establishes the following: 1. statements (a) and (b) are equivalent where (a) there exists at least one nonoscillatory solution of (1), (b) there is no ...
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Tamkang Journal of Mathematics, 1995 Nonlinear hyperbolic type partial difference equations with a forcing term are studied in this paper. By means of two averaging techniques, the problems of oscillation of characteristic initial value problem and of initial boundary value problem are reduced to that of forced and/ or unforced recurrence relations in one variable.
Cheng, Sui Sun +2 more
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Tamkang Journal of Mathematics, 1995 Parabolic type partial difference equations with a forcing term is stud- ied in this paper. By means of three averaging techniques, the problem of oscillation of these equations is reduced to that of recurrence relations in one variable.
SUI SUN CHENG +2 more
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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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