Results 31 to 40 of about 9,017,418 (195)
Nonlinear Analysis, 2019 In this paper, we consider a cholera model with periodic incidence rate and saturated treatment function. Under certain conditions, we establish a criterion on the global exponential stability of positive periodic solutions for this model by using a ...
Hongzheng Quan +2 more
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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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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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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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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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Positive periodic solutions to impulsive delay differentialequations
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: In this paper we discuss the existence of positive periodic solutions for nonautonomous second order delay differential equations with singular nonlinearities in the presence of impulsive effects. Simple sufficient conditions are provided that enable us to obtain positive periodic solutions. Our approach is based on a variational method.
Daoudi-Merzagui, Naima, Dib, Fatima
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