Periodic solutions of nonlinear vibrating beams.
Periodic solutions of some linear systems of differential equations.
Periodic solutions to a -Laplacian neutral Rayleigh equation with deviating argument
By using the coincidence degree theory, we study a type of -Laplacian neutral Rayleigh functional differential equation with deviating argument to establish new results on the existence of -periodic solutions.
Periodicity of solutions to delayed dynamic equations with feedback control.
Plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems with discrete time
We study dichotomous behavior of solutions to a non-autonomous linear difference equation in a Hilbert space. The evolution operator of this equation is not continuously invertible and the corresponding unstable subspace is of infinite dimension in general. We formulate a condition ensuring the dichotomy in terms of a sequence of indefinite metrics in the Hilbert space. We also construct an example of a difference equation in which dichotomous behavior of solutions is not compatible with the signature...
Point fixe d'une application non contractante.
We study a multilinear fixed-point equation in a closed ball of a Banach space where the application is 1-Lipschitzian: existence, uniqueness, approximations, regularity.
Positive almost periodic solutions of non-autonomous delay competitive systems with weak allee effect.
Positive fixed point of strict set contraction operators on ordered Banach spaces and applications.
Positive periodic solutions for a predator-prey model with time delays and impulsive effect.
Positive periodic solutions for an impulsive ratio-dependent predator-prey system with delays.
Positive periodic solutions for Liénard type -Laplacian equations.
Positive periodic solutions in neutral nonlinear differential equations.
Positive solution of singular boundary value problem for a nonlinear fractional differential equation.
Positive solution to a singular conjugate boundary value problem
Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations.
Positive solutions and eigenvalue intervals of a nonlinear singular fourth-order boundary value problem
We consider the classical nonlinear fourth-order two-point boundary value problem In this problem, the nonlinear term contains the first and second derivatives of the unknown function, and the function may be singular at , and at , , . By introducing suitable height functions and applying the fixed point theorem on the cone, we establish several local existence theorems on positive solutions and obtain the corresponding eigenvalue intervals.
Positive solutions and eigenvalue intervals of a singular third-order boundary value problem
This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.
Positive solutions for a class of coupled system of singular three-point boundary value problems.
Positive solutions for a class of fourth-order boundary value problems in Banach spaces.
Positive solutions for a class of quasilinear singular equations.