Positive periodic solutions for the Korteweg-de Vries equation.
Blow up of the solutions of nonlinear wave equation.
Blow-up of solutions to a nonlinear wave equation.
A Time-dependent Biochemical System
Existence of solutions for a class of first order boundary value problems
In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.
Positive solutions for a class of non-autonomous second order difference equations via a new functional fixed point theorem
In this paper, by using recent results on fixed point index, we develop a new fixed point theorem of functional type for the sum of two operators where is Lipschitz invertible and a -set contraction. This fixed point theorem is then used to establish a new result on the existence of positive solutions to a non-autonomous second order difference equation.
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