Access the full text.
Sign up today, get DeepDyve free for 14 days.
Ekin Uğurlu (2019)
Regular third-order boundary value problemsAppl. Math. Comput., 343
E. Bairamov, Ş. Solmaz (2018)
Spectrum and scattering function of the impulsive discrete Dirac systemsTURKISH JOURNAL OF MATHEMATICS
O. Ladyzhenskai︠a︡ (1967)
Boundary value problems of mathematical physics
O. Mukhtarov, K. Aydemir (2018)
Basis properties of the eigenfunctions of two-interval Sturm–Liouville problemsAnalysis and Mathematical Physics
H. Olğar, O. Mukhtarov (2017)
Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditionsJournal of Mathematical Physics, 58
J. Cannon, G. Meyer (1971)
On Diffusion in a Fractured MediumSiam Journal on Applied Mathematics, 20
O. Muhtarov, S. Yakubov (2002)
Problems for Ordinary Differential Equations with Transmission ConditionsApplicable Analysis, 81
B. Allahverdiev, H. Tuna (2018)
Titchmarsh–Weyl Theory for Dirac Systems with Transmission ConditionsMediterranean Journal of Mathematics, 15
O. Mukhtarov, K. Aydemir (2020)
DISCONTINUOUS STURM-LIOUVILLE PROBLEMS INVOLVING AN ABSTRACT LINEAR OPERATOR
AbstractThe main goal of thisstudy is the investigation of discontinuous boundary-value problemsfor second-order differential operators with symmetric transmissionconditions. We introduce the new notion of weak functions for suchtype of discontinuous boundary-value problems and develop anoperator-theoretic method for the investigation of the spectrum andcompleteness property of the weak eigenfunction systems.In particular, we define some self-adjoint compact operators insuitable Sobolev spaces such that the considered problem can bereduced to an operator-pencil equation. The main result of thispaper is that the spectrum is discrete and the set of eigenfunctionsforms a Riesz basis of the suitable Hilbert space.
Journal of Applied Analysis – de Gruyter
Published: Dec 1, 2022
Keywords: Boundary value problems; transmission conditions; weak eigenfunctions; eigenvalue; completeness; Riesz basis; 34L10; 34L15 34B08; 34B24
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.