scholarly journals Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order

2010 ◽  
Vol 2010 (1) ◽  
pp. 720235 ◽  
Author(s):  
Hamza Menken
Keyword(s):  
Boundary Value Problem ◽  
Fourth Order ◽  
Boundary Value ◽  
Asymptotic Formulas ◽  
Eigenvalues And Eigenfunctions

scholarly journals ASYMPTOTIC DISTRIBUTION OF EIGENVALUES AND EIGENFUNCTIONS OF A NONLOCAL BOUNDARY VALUE PROBLEM

2021 ◽  
Vol 26 (2) ◽  
pp. 253-266
Author(s):  
Erdoğan Şen ◽  
Artūras Štikonas
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Asymptotic Distribution ◽  
Nonlocal Boundary Condition ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Asymptotic Formulas ◽  
Nonlocal Boundary Value Problem ◽  
Eigenvalues And Eigenfunctions ◽  
Distribution Of Eigenvalues

In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.

scholarly journals Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis

2014 ◽  
Vol 6 (1) ◽  
pp. 113-122
Author(s):  
O.V. Makhnei
Keyword(s):  
Fundamental Solution ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Asymptotic Formulas ◽  
Solution System ◽  
Asymptotics Of Eigenvalues ◽  
Eigenvalues And Eigenfunctions ◽  
Quasidifferential Equation

With the help of a conception of quasiderivatives asymptotic formulas for a fundamental solution system of a quasidifferential equation with measures on the semiaxis $[0,\infty)$ are constructed. The obtained asymptotic formulas allow to investigate asymptotics of eigenvalues and eigenfunctions of the corresponding boundary value problem.

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