Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1

2007 ◽  
Vol 31 (9) ◽  
pp. 1005-1027 ◽  
Author(s):  
Taras A. Mel'nyk
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Boundary Value ◽  
Type 3

scholarly journals First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Ya-Hong Zhao
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Dynamic Equation ◽  
Iteration Method ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Iterative Schemes ◽  
First Order ◽  
Monotone Iteration ◽  
Existence Of Positive Solutions

This work is concerned with the following first-order dynamic equation on time scale, xΔ(t)+p(t)x(σ(t))=f(t,x(t)),  t∈[0,T]𝕋with the nonlinear boundary conditionx(0)=g(x(σ(T))). By applying monotone iteration method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions.

A shock problem involving a nonlinear viscoelastic bar associated with a nonlinear boundary condition

2008 ◽  
Vol 41 (1) ◽  
Author(s):  
Nguyen Thanh Long ◽  
Vo Giang Giai ◽  
Le Xuan Truong
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave Equation ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Viscoelastic ◽  
Initial Boundary Value

AbstractWe study the initial-boundary value problem for a nonlinear wave equation given by

Sign in / Sign up

Export Citation Format

Share Document