AbstractWe discuss the existence of periodic solution for the doubly nonlinear evolution equation A(u′(t))+∂ϕ(u(t))∋f(t) governed by a maximal monotone operator A and a subdifferential operator ∂ϕ in a Hilbert space H. As the corresponding Cauchy problem cannot be expected to be uniquely solvable, the standard approach based on the Poincaré map may genuinely fail. In order to overcome this difficulty, we firstly address some approximate problems relying on a specific approximate periodicity condition. Then, periodic solutions for the original problem are obtained by establishing energy estimates and by performing a limiting procedure. As a by-product, a structural stability analysis is presented for the periodic problem and an application t...
AbstractIn this paper, we discuss the existence and asymptotic stability of the time periodic soluti...
A class of doubly periodic waves for several nonlinear evolution equations is studied by the Hirota ...
We examine nonlinear periodic problems for scalar and vector differential equations involving a maxi...
AbstractWe discuss the existence of periodic solution for the doubly nonlinear evolution equation A(...
AbstractThe solvability of the evolution system v′(t)+B(t)u(t)∋f(t), v(t)∈A(t)u(t), 0<t<T, with the ...
We consider the existence of periodic solutions of the problem $ g(t, u)¥in$ $u^{¥prime}+Au$ , where...
AbstractIn this paper, we study the existence problem of periodic solutions for the following first-...
AbstractWe prove the existence of solutions of the Cauchy problem for the doubly nonlinear evolution...
A periodic solutions for nonlinear evolution equations of the form du/dt ∈ -Au(t) + F(t,u(t)), t ∈ R...
In this paper we obtain sufficient conditions for the existence of doubly periodic solutions of the ...
In the case of K =D(A), we study Cauchy problems and periodic problems for nonlinear evolution equat...
In this paper we are concerned with the existence of solutions for nonhomoge-neous Dirichlet periodi...
AbstractThe existence of anti-periodic solutions, hence also that of periodic solutions, to the nonl...
AbstractWe deal with anti-periodic problems for nonlinear evolution equations with nonmonotone pertu...
AbstractThis paper deals with the existence and uniqueness for the periodic boundary value problem o...
AbstractIn this paper, we discuss the existence and asymptotic stability of the time periodic soluti...
A class of doubly periodic waves for several nonlinear evolution equations is studied by the Hirota ...
We examine nonlinear periodic problems for scalar and vector differential equations involving a maxi...
AbstractWe discuss the existence of periodic solution for the doubly nonlinear evolution equation A(...
AbstractThe solvability of the evolution system v′(t)+B(t)u(t)∋f(t), v(t)∈A(t)u(t), 0<t<T, with the ...
We consider the existence of periodic solutions of the problem $ g(t, u)¥in$ $u^{¥prime}+Au$ , where...
AbstractIn this paper, we study the existence problem of periodic solutions for the following first-...
AbstractWe prove the existence of solutions of the Cauchy problem for the doubly nonlinear evolution...
A periodic solutions for nonlinear evolution equations of the form du/dt ∈ -Au(t) + F(t,u(t)), t ∈ R...
In this paper we obtain sufficient conditions for the existence of doubly periodic solutions of the ...
In the case of K =D(A), we study Cauchy problems and periodic problems for nonlinear evolution equat...
In this paper we are concerned with the existence of solutions for nonhomoge-neous Dirichlet periodi...
AbstractThe existence of anti-periodic solutions, hence also that of periodic solutions, to the nonl...
AbstractWe deal with anti-periodic problems for nonlinear evolution equations with nonmonotone pertu...
AbstractThis paper deals with the existence and uniqueness for the periodic boundary value problem o...
AbstractIn this paper, we discuss the existence and asymptotic stability of the time periodic soluti...
A class of doubly periodic waves for several nonlinear evolution equations is studied by the Hirota ...
We examine nonlinear periodic problems for scalar and vector differential equations involving a maxi...