scholarly journals On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications

2015 ◽  
Vol 5 (1) ◽  
pp. 17-70 ◽  
Author(s):  
Anton Lunyov ◽  
Mark Malamud
Keyword(s):  
Boundary Value Problems ◽  
Riesz Basis ◽  
Boundary Value ◽  
Basis Property ◽  
Riesz Basis Property ◽  
First Order

scholarly journals Spectral Properties of Non-Self-Adjoint Perturbations for a Spectral Problem with Involution

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
Asylzat A. Kopzhassarova ◽  
Alexey L. Lukashov ◽  
Abdizhakhan M. Sarsenbi
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Spectral Problem ◽  
Riesz Basis ◽  
Spectral Properties ◽  
Basis Property ◽  
Full Description ◽  
Riesz Basis Property ◽  
First Order ◽  
First Order Differential Equations

Full description of Riesz basis property for eigenfunctions of boundary value problems for first order differential equations with involutions is given.

scholarly journals Periodic Boundary Value Problems for First-Order Impulsive Functional Integrodifferential Equations with Integral-Jump Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Chatthai Thaiprayoon ◽  
Decha Samana ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Integrodifferential Equations ◽  
Jump Conditions ◽  
Comparison Result ◽  
First Order ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems ◽  
Minimal And Maximal Solutions

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive functional integrodifferential equations with integral-jump conditions. An example is also given to illustrate our results.

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