Computation of eigenvalues and eigenfunctions of a Schrödinger-type boundary-value-transmission problem with retarded argument

2018 ◽  
Vol 41 (16) ◽  
pp. 6604-6610
Author(s):  
Erdoğan Şen
Keyword(s):  
Boundary Value ◽  
Transmission Problem ◽  
Retarded Argument ◽  
Eigenvalues And Eigenfunctions ◽  
Value Transmission ◽  
Type Boundary ◽  
Computation Of Eigenvalues

scholarly journals Existence of the Solutions of Nonlinear Fractional Differential Equations Using the Fixed Point Technique in Extended b-Metric Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 158
Author(s):  
Liliana Guran ◽  
Monica-Felicia Bota
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Boundary Value ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Existence Of A Solution ◽  
Shadowing Property ◽  
Limit Shadowing ◽  
Type Boundary ◽  
Cyclic Type

The purpose of this paper is to prove fixed point theorems for cyclic-type operators in extended b-metric spaces. The well-posedness of the fixed point problem and limit shadowing property are also discussed. Some examples are given in order to support our results, and the last part of the paper considers some applications of the main results. The first part of this section is devoted to the study of the existence of a solution to the boundary value problem. In the second part of this section, we study the existence of solutions to fractional boundary value problems with integral-type boundary conditions in the frame of some Caputo-type fractional operators.

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