Initial-Boundary Value Existing Problem in Nonlinear Elastic Beam Equations

2011 ◽  
pp. 89-94
Author(s):  
Run-Fang Li ◽  
Hu-Xiao Luo
Keyword(s):  
Boundary Value ◽  
Elastic Beam ◽  
Initial Boundary ◽  
Beam Equations ◽  
Initial Boundary Value ◽  
Nonlinear Elastic ◽  
Elastic Beam Equations

The Initial-Boundary Value Problem of a Nonlinear Thermoelastic Beam Equations

2010 ◽  
Vol 29-32 ◽  
pp. 583-588 ◽  
Author(s):  
Jian Wen Zhang ◽  
Dan Xia Wang
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Coupled Equations ◽  
Beam Equations ◽  
Important Study ◽  
Thermoelastic Beam ◽  
Initial Boundary Value

Recently, with the development of mathematics itself and promotion of physics and other mechanics, the study of partial differential equation (equations) has become an important study subject. In this paper, we make research the initial-boundary value problem for a class of the thermoelastic beam equations. Namely, for the following coupled equations

scholarly journals Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
Mujahid Abbas ◽  
Hira Iqbal ◽  
Manuel De La Sen
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Periodic Problem ◽  
Elastic Beam ◽  
Common Fixed Points ◽  
First Order ◽  
Beam Equations ◽  
Nonlinear Elastic ◽  
Rational Contraction ◽  
Elastic Beam Equations

We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results unify, extend, and refine various results in the literature. Some fixed point results for both single and multivalued (θ,ϝ) rational contractions are also obtained in the framework of a space endowed with partial order. As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem.

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