ON A CERTAIN NONLOCAL POTENTIAL

1966 ◽  
Vol 44 (3) ◽  
pp. 629-636 ◽  
Author(s):  
V. de la Cruz ◽  
B. A. Orman ◽  
M. Razavy
Keyword(s):  
Differential Equations ◽  
Green's Functions ◽  
Green’S Functions ◽  
Second Order ◽  
Numerical Results ◽  
Nonlocal Potential ◽  
Second Order Differential Equations ◽  
Nonlocal Potentials

A solvable example of a class of nonlocal potentials, whose kernels are related to Green's functions of second-order differential equations, is examined. This solvable example is applied to a few standard problems and, in particular, acceptable numerical results are obtained for p–p scattering in the 1S state.

scholarly journals Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
F. Talay Akyildiz ◽  
K. Vajravelu
Keyword(s):  
Fluid Flow ◽  
Differential Equations ◽  
Viscoelastic Fluid ◽  
Poiseuille Flow ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Numerical Results ◽  
Second Order Differential Equations ◽  
Salient Features ◽  
Quasilinearization Technique

Solutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are presented graphically and salient features of the solutions are discussed.

Note on the Uniqueness of the Green'S Functions Associated With Certain Differential Equations

1950 ◽  
Vol 2 ◽  
pp. 314-325 ◽  
Author(s):  
D. B. Sears
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Green’S Function ◽  
Green's Function ◽  
Green's Functions ◽  
Order Differential Equation ◽  
Green’S Functions ◽  
Second Order ◽  
Second Order Differential Equation

Conditions to be imposed on q(x) which ensure the uniqueness of the Green's function associated with the linear second-order differential equation

scholarly journals Application of the Kantbp 4m program for analysis of models of the low-dimensional quantum systems

2019 ◽  
Vol 16 (3) ◽  
pp. 121
Author(s):  
Luong Le Hai ◽  
Tran Thi Lua ◽  
Gusev Alexander Alexandrovich ◽  
Vinitsky Sergey Ilich ◽  
Chuluunbaatar Ochbadrakh
Keyword(s):  
Differential Equations ◽  
Mathematical Models ◽  
Adjoint System ◽  
Quantum Systems ◽  
Second Order ◽  
Numerical Results ◽  
The Self ◽  
Boundary Problems ◽  
Second Order Differential Equations ◽  
Low Dimensional

In the paper, a calculating program named “KANTBP 4M – A program for solving boundary problems of the self-adjoint system of ordinary second order differential equations” is presented. The KANTBP 4M program studied different mathematical models reduced from complex physical ones and gave the numerical results and the accuracy of these results in comparison with the analytical ones.

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

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