ON SPECTRAL PROPERTIES FOR A REGULAR STURM-LIOUVILLE PROBLEM WITH RETARDED ARGUMENT

Abstract

In this work we study a discontinuous boundary-value problemwith retarded argument which contains a spectral parameter in the transmission conditions. We firstly prove the existence theorem and then obtainasymptotic representation of eigenvalues and eigenfunctions

Keywords

• Differential equation with retarded argument,transmission conditions;asymptotics of eigenvalues and eigenfunctions

References

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21. Department of Mathematics, Faculty of Arts and Science, Namik Kemal University, 59030, Tekirda˘g, Turkey and Department of Mathematics Engineering, Istanbul Tech- nical University, Maslak, 34469 Istanbul, Turkey
22. E-mail address: [e-mail]
23. Department of Mathematics Education, Faculty of Education, Recep Tayyip Erdogan University, Rize, Turkey
24. E-mail address: [e-mail]
25. Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu Univer- sity, 27410 Gaziantep, Turkey
26. E-mail address: [e-mail]
27. Department of Mathematics, University of Gaziantep, Gaziantep 27310, Turkey
28. E-mail address: [e-mail]