Existence and non-existence of null-solutions for some non-Fuchsian partial differential operators with T-dependent coefficients

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...

Existence of Non-oscillatory Solutions for Nonlinear Differential Equations with Distributed Delays and M-order Linear Operators with Variable Coefficients

This article concerns the existence of non-oscillatory solutions for non-linear, nonhomogeneous differential equations. In these equations, the unknown function depends on distributed arguments that can be retarded or advanced and have variable delays. Using contraction mappings, we show the existence of solutions, and estimate their norms. Then our results are extended to dynamic equations on ...

Existence of Positive Solutions for Multi-term Non-autonomous Fractional Differential Equations with Polynomial Coefficients

In the present paper we discuss the existence of positive solutions in the case of multi-term non-autonomous fractional differential equations with polynomial coefficients; the constant coefficient case has been studied in [2]. We consider the equation “ Dn − n−1 X j=1 pj(x)D αn−j ” y = f(x, y). We state various conditions on f and pj ’s under which this equation has: positive solutions, a uniq...

Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients

Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth

In this paper, we are concerned with the following fractional Schrödinger-Poisson system:    (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with ...