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Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-fiel...
We study the evolution of an N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper Grillakis, Machedon, and Margetis (2010) [13], in which we derived a second-o...
This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficien...
In this paper, we give a new method to solve a nonlinear system of second order two-point boundary value problem. Its exact solutions are represented in the form of series in the reproducing kernel sp...
Using of the asymptotic estimates provided in [2] for a special fundamental system of solutions of Sturm-Liouville equation, we study the asymptotic estimates for a special fundamental system of solut...
In this paper we study the periodic boundary value problem for a nonlinear ordinary differential equation of second order. We give sufficient and necessary conditions for the existence of periodic sol...
In this work, we have studied the solution of the second order differential equation with two turning points case. It is well known that the solutions of the equation are obtained by the asymptotic so...
In this work, we have studied the solution of the second order differential equation with two turning points case. It is well known that the solutions of the equation are obtained by the asymptotic so...
In this paper, a spline finite element approach is manipulated for the numerical solution of an extended system of second-order boundaryvalue problems. The efficiency of the proposed method is examine...
In this paper, we study the existence and uniqueness of mild solutions for more general second order initial value problems, with nonlocal conditions, by using the Banach fixed point theorem and the t...
This work represents the results of our research of the elliptic operator of the second order on a closed smooth manifold with the presence of turning points. The techniques, that were used in prevous...
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator
Hardy Type Inequalities For Integral Transforms Associated With A Singular Second Order Differential Operator.

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