Abstract
In this paper, diffusion operator with discontinuity conditions at two point is considered. İntegral equations for solution which satisfy certain initial and jump conditions of given equation has been obtained and useful integral representation for diffusion operator with discontinuity conditions at two
Keywords
References
- Marchenko, V.A.,Sturm-Liouville Operators and their Applications, Kiev: Naukova Dumka, 1977, (Endl. Transl. 1986 (Basel: Birkhauser)).
- Freiling, G. and Yurko, V.A., Inverse problems for di_erential equations with turning points, Inverse Problems, 13 (1997), 1247-1263.
- Freiling G. and Yurko A.A.,Inverse spectral problems for di_erential equations on the half-line with turning points, J. Di_. Equations, 154 (1999), 419-453.
- Yurko, V.A., Inverse Spectral Problems for Di_erential Operators and their Applications, New York: Gordon & Breach, 1999.
- Yurko, V.A., On higher-order di_erential operators with a singular point, Inverse problems, 9 (1993), 495-502.
- Freiling, G. And Yurko, V.A.,On constructing di_erential equations with singularities from incomplete spectral information, Inverse Problems 14 81998), 1131-1150.
- Freiling, G. And Yurko, V.A.,Reconstructing parameters of a medium from incomplete,spectral information, Result in Matematics 35 (1999), 228-249.
- Yurko, V.A., Inverse problem for di_erential equations with a singularity, Di_er. Uravreniya 28 (1992), no. 8, 1355-1362 (in Russian); English transl. _In Di_er. Equations28 (1992),1100-1107.
- Bellman, R. and Cook, K., Di_erential-di_erence Equations, Academic Press, New York,1963.
- Convay, J.B., Functions of One Complex Variable, 2nd ed., vol. I, Springer-Verlag, New York,1995.
- Levitan, B.M., Inverse Sturm-Liouville Problems, Moscow: Nauka, 1984, (Engl. Transl.1987 (Utrecth: VNU Science Press)).
Abstract
Özet. Bu çalışmada iki noktada süreksizlik koşullarına sahip difüzyon operatörü ele alınmıştır. Verilen denklemin belirli başlangıç ve süreksizlik koşullarını sağlayan çözümleri için integral denklemler elde edilmiş ve süreksizlik koşullarına sahip difüzyon denklemini için oldukça kullanışlı olan integral gösterilim verilmiştir.
Abstract. In this paper, diffusion operator with discontinuity conditions at two point is considered. İntegral equations for solution which satisfy certain initial and jump conditions of given equation has been obtained and useful integral representation for diffusion operator with discontinuity conditions at two.
Keywords
References
- Marchenko, V.A.,Sturm-Liouville Operators and their Applications, Kiev: Naukova Dumka, 1977, (Endl. Transl. 1986 (Basel: Birkhauser)).
- Freiling, G. and Yurko, V.A., Inverse problems for di_erential equations with turning points, Inverse Problems, 13 (1997), 1247-1263.
- Freiling G. and Yurko A.A.,Inverse spectral problems for di_erential equations on the half-line with turning points, J. Di_. Equations, 154 (1999), 419-453.
- Yurko, V.A., Inverse Spectral Problems for Di_erential Operators and their Applications, New York: Gordon & Breach, 1999.
- Yurko, V.A., On higher-order di_erential operators with a singular point, Inverse problems, 9 (1993), 495-502.
- Freiling, G. And Yurko, V.A.,On constructing di_erential equations with singularities from incomplete spectral information, Inverse Problems 14 81998), 1131-1150.
- Freiling, G. And Yurko, V.A.,Reconstructing parameters of a medium from incomplete,spectral information, Result in Matematics 35 (1999), 228-249.
- Yurko, V.A., Inverse problem for di_erential equations with a singularity, Di_er. Uravreniya 28 (1992), no. 8, 1355-1362 (in Russian); English transl. _In Di_er. Equations28 (1992),1100-1107.
- Bellman, R. and Cook, K., Di_erential-di_erence Equations, Academic Press, New York,1963.
- Convay, J.B., Functions of One Complex Variable, 2nd ed., vol. I, Springer-Verlag, New York,1995.
- Levitan, B.M., Inverse Sturm-Liouville Problems, Moscow: Nauka, 1984, (Engl. Transl.1987 (Utrecth: VNU Science Press)).
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Natural Sciences Research Article |
| Authors | |
| Publication Date | March 23, 2015 |
| Published in Issue | Year 2015 Volume: 36 Issue: 5 |