Δημοσίευση σε επιστημονικό περιοδικόSummarization: We consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.Παρουσιάστηκε στο: Discussiones Mat
We consider the nonlinear difference equation xn+1=f(xn−k,xn−k+1,…,xn), n=0,1,…, where k∈{1,2,…} a...
We study the difference equation xn+1=α−xn/xn−1, n∈ℕ0, where α∈ℝ and where x−1 and x0 are so chosen ...
In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinea...
AbstractOf concern is the existence and uniqueness of the solution to a class of abstract second-ord...
AbstractIn this paper we consider the following nonlinear evolution problem with damping:(∗)|u″(t)+A...
AbstractThe authors consider the difference equations (*)Δ(anΔxn)=qnxn+1 and (**)Δ(anΔxn)=qnf(xn+1) ...
Abstract. We consider a second order nonlinear difference equation ∆2yn = anyn+1 + f(n, yn, yn+1) , ...
AbstractComparison theorems and existence criteria are summarized and new ones are derived for the m...
We study a nonlinear second-order difference equation which considerably extends some equations in t...
Abstract. New sufficient conditions for the existence of at least one solution of Neumann type bound...
summary:We use Brouwer degree to prove existence and multiplicity results for the solutions of some ...
This thesis obtains results proving existence of solutions to second order nonlinear boundary value ...
We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dtu+ℬ...
summary:We consider a second order nonlinear difference equation \[ \Delta ^2 y_n = a_n y_{n+1} + f(...
Here we study the existence of a solution and also the behavior of the existing solution of the abst...
We consider the nonlinear difference equation xn+1=f(xn−k,xn−k+1,…,xn), n=0,1,…, where k∈{1,2,…} a...
We study the difference equation xn+1=α−xn/xn−1, n∈ℕ0, where α∈ℝ and where x−1 and x0 are so chosen ...
In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinea...
AbstractOf concern is the existence and uniqueness of the solution to a class of abstract second-ord...
AbstractIn this paper we consider the following nonlinear evolution problem with damping:(∗)|u″(t)+A...
AbstractThe authors consider the difference equations (*)Δ(anΔxn)=qnxn+1 and (**)Δ(anΔxn)=qnf(xn+1) ...
Abstract. We consider a second order nonlinear difference equation ∆2yn = anyn+1 + f(n, yn, yn+1) , ...
AbstractComparison theorems and existence criteria are summarized and new ones are derived for the m...
We study a nonlinear second-order difference equation which considerably extends some equations in t...
Abstract. New sufficient conditions for the existence of at least one solution of Neumann type bound...
summary:We use Brouwer degree to prove existence and multiplicity results for the solutions of some ...
This thesis obtains results proving existence of solutions to second order nonlinear boundary value ...
We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dtu+ℬ...
summary:We consider a second order nonlinear difference equation \[ \Delta ^2 y_n = a_n y_{n+1} + f(...
Here we study the existence of a solution and also the behavior of the existing solution of the abst...
We consider the nonlinear difference equation xn+1=f(xn−k,xn−k+1,…,xn), n=0,1,…, where k∈{1,2,…} a...
We study the difference equation xn+1=α−xn/xn−1, n∈ℕ0, where α∈ℝ and where x−1 and x0 are so chosen ...
In this paper, we prove an existence theorem for time global monotone positive solutions of nonlinea...