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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.
F Merdivenci Atici
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Positive periodic solution to an indefinite singular equation

Applied Mathematics Letters, 2021
The paper is concerned with the singular equation \[ x'' + q(t)x = \frac{b(t)}{x^\rho} + e(t), \] where \(\rho > 0\) and \(q,b,e\) are \(\omega\)-periodic continuous functions, with \(q(t), e(t) > 0\) for all \(t\). Under suitable assumptions on the Green's function of the associated linear equation and on the nonlinear term, the existence of a ...
Zhibo Cheng, Xiaoxiao Cui
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Positive periodic solutions for an integrodifferential model of mutualism

Applied Mathematics Letters, 2001
The paper deals with a system of two nonlinear integro-differential equations of first order which presents a model of mutualism. The ecological meaning of such type systems may be found in the book by \textit{K. Gopalsamy} [Stability and oscillations in delay differential equations of population dynamics (1992; Zbl 0752.34039)].
Yongkun Li
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Positive periodic solutions of delay differential equations

Applied Mathematics Letters, 2013
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A note on positive periodic solutions of delayed differential equations

Applied Mathematics Letters, 2010
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Haiyan Wang
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Positive periodic solutions of neutral Lotka–Volterra system with periodic delays

Applied Mathematics and Computation, 2004
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Jinde Cao, Zhihui Yang
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