On a New Method for Solving Irregular Problems

Journal of Mathematical Analysis and Applications

Volumn 220, Issue 1, 1998, Pages 224-249

  Yakubov, Sasun ^a  

^a UNIVERSITY OF HAIFA   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040089892     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5876     Document Type: Article

References (16)

1. Agmon S. On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Comm. Pure Appl. Math. 15:1962;119-147.
2. Agranovich M. S., Vishik M. I. Elliptic problems with a parameter and parabolic problems of general type. Uspekhi Mat. Nauk. 19:1964;53-161.
3. Besov O. V., Il'in V. P., Nikolskii S. M. Integral Representations of Functions and Embedding Theorems. 1978;Halsted, New York.
4. Birkhoff G. D. Boundary value and expansion problems of ordinary linear differential equations. Trans. Amer. Math. Soc. 9:1908;373-395.
5. Kravitskii A. O. Fold expansions in series of eigenfunctions of a self-adjoint boundary problem. Differentsial'nye Uravneniya. 4:1968;165-177.
6. 2. J. Math. Anal. Appl. 141:1989;538-558.
7. 2. J. Math. Anal. Appl. 146:1989;148-191.
8. Locker J. The spectral theory of second order two-point differential operators. I. A priori estimates for the eigenvalues and completeness. Proc. Roy. Soc. Edinburgh Sect. A. 121:1992;279-301.
9. Naimark M. A. Linear Differential Operators. 1967;Ungar, New York.
10. Regge T. Analytic properties of the scattering matrix. Nuovo Cimento. 8:1958;671-679.
11. Regge T. Construction of potentials from resonance parameters. Nuovo Cimento. 9:1963;491-503.
12. Shkalikov A. A. Boundary value problems for ordinary differential equations with a parameter in boundary conditions. Trudy Sem. Petrovsk. 9:1983;190-229.
13. Stone M. H. Irregular differential system of order two and related expansion problems. Trans. Amer. Math. Soc. 29:1927;23-53.
14. Triebel H. Interpolation Theory, Function Spaces, Differential Operators. 1978;North-Holland, Amsterdam.
15. Yakubov S. Completeness of Root Functions of Regular Differential Operators. 1994;Longman, New York.
16. Yakubov Ya. The investigation of the resolvent of an operator generated by irregular boundary value conditions and ordinary differential expressions. Dokl. Akad. Nauk Azerb. SSR. 40:1984;3-6.