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Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons.I.
Second-Order Corrections Mean Field Evolution Weakly Interacting Bosons
2015/10/16
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...
Second-order corrections to mean field evolution of weakly interacting Bosons.II
Second-order corrections Mean field evolution Weakly interacting bosons
2015/10/16
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...
Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations
Second order differential equation with p-Laplacian generalized Sturm-Liouville boundary value problem fixed point theorem in cone
2011/4/6
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...
Solving a nonlinear system of second order two-point boundary value problem
Nonlinear second-order differential system Reproducing kernel space Two-point boundary problem
2010/9/13
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...
Asymptotic solutions and eigenvalues of second-order differential equations with poles and turning points
Eigenvalues singularity turning point
2010/9/13
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...
Periodic boundary value problem for second order ordinary differential equations
Boundary value problems periodic solution
2010/9/10
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...
The negative Neumann eigenvalues of second order differential equation with two turning points
Turning point Sturm-Liouville problem
2010/9/10
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...
The negative Neumann eigenvalues of second order differential equation with two turning points
Turning point Sturm-Liouville problem
2010/9/10
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...
Spline collocation approach for the numerical solution of a generalized system of second-order boundary-value problems
Spline method Finite element
2010/9/15
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...
On global existence of mild solutions of second order Volterra integrodifferential equations
Volterra Integrodifferential Equation Nonlocal Conditions
2010/9/15
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...
The model form and the \zeta-function for an elliptic differential operator of the second order on a manifold with turning points
model form turning manifold turning point
2010/9/10
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
Positive solution Fixed point p-Laplacian
2010/9/14
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator
Certain Second Order Linear Differential Subordinations
Analytic functions Hadamard product (or convolution) differential subordination Ruscheweyh derivatives univalent functions convex functions
2008/7/1
Certain Second Order Linear Differential Subordinations.
Hardy Type Inequalities For Integral Transforms Associated With A Singular Second Order Differential Operator
Hardy type inequalities Integral transforms Differential operator
2008/7/1
Hardy Type Inequalities For Integral Transforms Associated With A Singular Second Order Differential Operator.
Boundary Value Problem for Second-Order Differential Operators with Mixed Nonlocal Boundary Conditions
Green's Function Non Regular Boundary Conditions Regular Boundary Conditions Semi group with Singularities
2008/7/1
Boundary Value Problem for Second-Order Differential Operators with Mixed Nonlocal Boundary Conditions.