Results 21 to 30 of about 96,168 (247)
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we investigate the following Schrödinger equation \begin{equation*} -\Delta u+V(x)u=\lambda f(u) \quad {\rm in} \ \mathbb{R}^N, \end{equation*} where $N\geq 3$, $\lambda>0$, $V$ is an asymptotically periodic potential and the nonlinearity
Gui-Dong Li, Yong-Yong Li, Chun-Lei Tang
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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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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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Mathematics, 2022 In this article, we deal with some new existence results for positive periodic solutions for a class of neutral functional differential equations by employing Krasnoselskii’s fixed-point theorem and the properties of a neutral operator.
Lingping Zhang, Bo Du
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Positive Almost Periodic Solution on a Nonlinear Differential Equation [PDF]
Mathematical Problems in Engineering, 2011 We study the following nonlinear equation dx(t)/dt = x(t)[a(t) − b(t)xα(t) − f(t, x(t))] + g(t), by using fixed point theorem, the sufficient conditions of the existence of a unique positive almost periodic solution for above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the unique ...
Ni, Hua, Tian, Li-Xin, Liu, Xun
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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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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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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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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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Existence of Periodic Positive Solutions for Abstract Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2011 We will consider the existence of multiple positive periodic solutions for a class of abstract difference equations by using the well‐known fixed point theorem (due to Krasnoselskii).
Shugui Kang, Yaqiong Cui, Jianmin Guo
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