Results 31 to 40 of about 8,509,903 (292)
On solving discrete-time periodic Riccati equations [PDF]
, 2005 Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution ofdiscrete-time periodic Riccati equations are proposed.
A. Varga, Varga, Andras
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Positive Periodic Solutions for Nonlinear Difference Equations with Periodic Coefficients
Journal of Mathematical Analysis and Applications, 1999 The authors consider the following boundary value problem \[ -\Delta [p(n-1)\Delta y(n-1)]+q(n) y(n)=f(n,y(n)), \quad n=1,2,\dots,N, \] \[ y(0)=y(N),\qquad p(0)\Delta y(0)=p(N)\Delta y(N). \] Using a fixed point theorem in cones, existence of one as well as two solutions is established for the boundary value problem.
Atici, FM, Guseinov, GS
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New existence results for nonlinear delayed differential systems at resonance
Journal of Inequalities and Applications, 2018 This paper deals with the first-order delayed differential systems {u′+a(t)u=h(t)v+f(t,u(t−τ(t))),v′+b(t)v=g(t,u(t−τ(t))), $$\textstyle\begin{cases} u'+a(t)u=h(t)v+f(t,u(t-\tau (t))), \\ v'+b(t)v=g(t,u(t-\tau (t))), \end{cases} $$ where a, b, τ, h are ...
Ruipeng Chen, Xiaoya Li
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Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients
Journal of Mathematics, 2020 This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and ...
Durhasan Turgut Tollu
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Multiple Periodic solutions and Positive Homoclinic Solution for a differential equation
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013 The authors consider the nonautonomous differential equation \[ x''-a(t)x+b(t)x^2+c(t)x^3=0, \] where \(a,b\) and \(c\) are continuous \(T\)-periodic functions and obtain two results for them. The first one gives, under certain additional hypotheses, the existence of at least two nontrivial \(T\)-periodic solutions.
de Araujo, Anderson L. A. +1 more
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Multiple Positive Periodic Solutions for a Functional Difference System [PDF]
Abstract and Applied Analysis, 2014 We obtain two existence results about multiple positive periodic solutions for a class of functional difference system. Two examples are given to illustrate our results.
Cheng, Yue-Wen, Ding, Hui-Sheng
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An overview of recent developments in computational methods for periodic systems [PDF]
, 2007 : At the First IFAC Workshop on Periodic Systems (Como, Italy, 2001), a state of the art survey of computational methods for periodic systems has been presented (Varga and Van Dooren, 2001).
Andras Varga, Varga, Andreas
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Weak and strong singularities problems to Liénard equation
Boundary Value Problems, 2020 This paper is devoted to an investigation of the existence of a positive periodic solution for the following singular Liénard equation: x ″ + f ( x ( t ) ) x ′ ( t ) + a ( t ) x = b ( t ) x α + e ( t ) , $$ x''+f\bigl(x(t)\bigr)x'(t)+a(t)x= \frac{b(t)}{x^
Yun Xin, Guixin Hu
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Nonlinear Analysis, 2021 In this paper, we discuss the asymptotically periodic problem for the abstract fractional evolution equation under order conditions and growth conditions.
Qiang Li, Lishan Liu, Mei Wei
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On existence of positive periodic solutions
Monatshefte f�r Mathematik, 1998 Let \(\Omega\) be an open convex subset of \(\mathbb{R}^n\). A differential equation \[ \dot x=f(t,x) \tag{1} \] on \(\mathbb{R}\times \text{cl} \Omega\) is considered. It is assumed that the right-hand side of (1) is \(T\)-periodic in \(t\). The main theorem asserts the existence of a fixed point of the Poincaré map associated to (1) in \(\Omega ...
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