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 On the solvability of first-order discontinuous scalar initial and boundary value problems

2003 ◽  
Vol 44 (4) ◽  
pp. 513-538 ◽  
Author(s):  
R. P. Agarwal ◽  
S. Heikkilä
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
First Order ◽  
Comparison Results ◽  
First Order Differential Equations

AbstractIn this paper we derive extremality and comparison results for explicit and implicit initial and boundary value problems of first-order differential equations. Both the differential equations and the boundary conditions may involve discontinuities.

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