1,721,178 research outputs found
Planar differential systems at resonance
No full textWe consider the system Ju ̇ =∇H(u)+f(u)+p(t), where H : R^2 → R is of class C^1 with locally Lipschitz continuous gradient, f : R^2 → R^2 is locally Lipschitz continuous and bounded, and p : R → R^2 is measurable, bounded and T −periodic. Here, J is the standard symplectic matrix. For some classes of functions f, we give new existence theorems for periodic solutions and for unbounded solutions. Applications are given to forced second-order differential equations with separated nonlinearities
An iterative method for the solvability of semilinear equations in Hilbert spaces and applications
No full textExistence of a priori bounded solutions for discrete two-point boundary value problems
No full textIn this paper, a careful analysis on the existence of a priori bounded solutions for difference equations is provided. In particular, we study a second order nonlinear difference boundary value problem and its relationship with the continuous one and we obtain a version of these existence results with a priori bounds of the solution u and its derivative u ', u '' and we give an analytic expression of the solution u as the limit of a suitable sequence of functions
Periodic solutions of complex-valued differential equations and systems with periodic coefficients
No full textA continuation approach to fourth order superlinear periodic boundary value problems
No full textNO ABSTRAC
Positive semiclassical states for a fractional Schrödinger-poisson system
No full textWe consider a fractional Schrödinger-Poisson system in the whole space RN in presence of a positive potential and depending on a small positive parameter ε. We show that, for suitably small ε (i.e. in the "semiclassical limit") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential
Critical point theory and multiple periodic solutions of conservative systems with periodic nonlinearity
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