scholarly journals The Approximated Solution for The Nonlinear Second Order Delay Multi-Value Problems

2011 ◽  
Vol 8 (1) ◽  
pp. 175-178
Author(s):  
Baghdad Science Journal
Keyword(s):  
Approximate Solution ◽  
Second Order ◽  
Galerkin’S Method ◽  
Galerkin's Method

This paper is attempt to study the nonlinear second order delay multi-value problems. We want to say that the properties of such kind of problems are the same as the properties of those with out delay just more technically involved. Our results discuss several known properties, introduce some notations and definitions. We also give an approximate solution to the coined problems using the Galerkin's method.

Stability of a Beam on an Elastic Foundation Subjected to a Nonconservative Load

1980 ◽  
Vol 47 (1) ◽  
pp. 116-120 ◽  
Author(s):  
Z. Celep
Keyword(s):  
Approximate Solution ◽  
Numerical Calculation ◽  
Elastic Foundation ◽  
Cantilever Beam ◽  
Numerical Study ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
The Common ◽  
The Stability

In this investigation, the influence of a Winkler type of elastic foundation on the stability of the cantilever beam subjected to a nonconservative load which consists of a vertical and a follower components is studied. In addition to the common transverse foundation modulus, a rotatory foundation modulus is considered. Approximate solution is obtained by using Galerkin’s method. Numerical calculation are reported and displayed for various combinations of the nonconservativeness parameter, transverse and rotatory modulus of the foundation, distance of the point of application of the load and that of the transverse spring. As a result of the numerical study unexpected feature of stability of the cantilever beam in contrast to the behavior of the column is identified.

scholarly journals ON THE CORRECTNESS OF A NONLOCAL PROBLEM FOR THE SECOND ORDER MIXED TYPE EQUATION OF THE SECOND KIND IN A RECTANGLE

2016 ◽  
Vol 17 (2) ◽  
pp. 95-104 ◽  
Author(s):  
Sirojiddin Djamalov
Keyword(s):  
Sobolev Spaces ◽  
Mixed Type ◽  
Nonlocal Problem ◽  
Type Equation ◽  
Second Order ◽  
Galerkin’S Method ◽  
Mixed Type Equation ◽  
Galerkin's Method

In this work the correctness of a nonlocal problem from the Sobolev spaces is proved under the some restrictions to the coefficients of the considered second order mixed type equation of the second kind. Methods of proving are method of "$\varepsilon$-regularization", a priory estimates and Galerkin's method.

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