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In this paper we are devoted to considering the existence of homoclinic solutions for some second order non-autonomous Hamiltonian system with the potential changing sign. The proof is based on the st...
In this paper, by introducingsubdifferentiability of lower semicontinuous convex functions and the conjugate functions, as well as critical point theory and operator equations theory, we obtain multip...
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
In this paper we study the properties of the periodic orbits of x + V 0 x(t; x) = 0 with x 2 S1 and V 0 x (t; x) a T0 periodic potential.
This paper studies non-autonomous Lyness type recurrences of the form xn+2 =(an + xn)=xn+1, where fangn is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k 2...
We propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete KP equation--several other ultradiscrete equations--which maps N-soliton solutions to N+1-soliton ones.
The model we propose is a generalization of the linear discrete model to the case of time varying environment. We present a time discrete time varying model of the dynamics of a population structured ...
In this paper, we obtain sufficient conditions for the oscillation of the non-autonomous difference equations x(n+1)-x(n)+∑ from (i=1) to m of pi(n)x(n-τ_i)(n)=0,which are the discrete analog of the d...
A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory...
This paper gives new sufficient conditions for the existence of periodic solutions of a second order non-autonomous differential system by using Mawhin's coincidence degree theory and Brousk's theorem...

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