H. Hüseyin SAYAN

On the sensitivity of two-point boundary value problem for the system of linear ordinary differential equations with constant coefficients

Bu çalışmada sabit katsayılı homogen lineer adi diferensiyel denklem sistemi için [ to,tl] aralığında tanımlı $frac{d}{dt}x(t) = Ax(t)$ $Lx(t_o) = varphi, Rx(t_1)= Psi$ şeklinde verilen iki nokta sınır değer probleminin hassasiyeti incelenmiştir.

Sabit katsayılı lineer adi diferensiyel denklem sistemi için iki nokta sınır değer probleminin hassasiyeti üzerine

In this study, a system of homogeneous, linear, ordinary differential equations with constant coefficients related with the sensitivity of two-point boundary value problem is investigated in the interval of [ to,tl]. The problem is given as follows: $frac{d}{dt}x(t) = Ax(t)$ $Lx(t_o) = varphi, Rx(t_1)= Psi$

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1. Akın Ö. Bulgak H., "Linear difference equations and stability theory", Research Center of Applied Mathematics, Selcuk University, Konya, Turkey (in Turkish) (1998).
2. Bulgakov, A.Ya., "The quaranteed accuracy in matrix computations. sib. J. diff.equations", New-York, Nova Sci. Publ., 2(2): 1-16 (1993).
3. Bulgak(ov), A. Ya., "Matrix computations with guaranteed accuracy in stability theory", Research Center of Applied Mathematics, Selcuk University, Konya, Turkey (1995).
4. Godunov S.K., Antonov A.G., Kiriluk O.P.,Kostin V.I., "Guaranteed accuracy in numerical linear algebra", Kluwer Academic Publisher, Dordrecht, The Netherlands, 535 (1993).
5. Sayan H.H., "Numerical solution by guaranteed accuracy method of two-point boundary value problem for ordinary differential equation systems with constant coefficients", Ph.D. Thesis, Ankara University Graduate School of Naturel and Applied Sciences Dept. of. Math., Ankara, 60 (1999).
6. Malyshev V.V., Krasil'shchikov M.N.and Karlov V. I., "Optimization of obsevations in aircraft control", Mashinsotroyeniye, Moscow (1989).
7. Sage A. P. and White C.C., "Optimum systems control", Prentice- Hall, Englewood Cliffs, NJ (1977).
8. Klyatskin V.I.,"The embedding method in wave propagation theory", Nauka, Moskow (1986).
9. Ascher U. M., Matteij R. M. M. and Russell R. D., "Numerical solution of boundary- value problems for ordinary differential equations", Prentice- Hall, Englewood Cliffs, New Jersey (1988).
10.Chen C. L. and Liu Y. C., "Solution of two-point boundary- value problems using the differential transformation method", Journal of Optimization Theory and Applications, 99(1): 23-35 October (1998).
11. Deo S. G., Murty K. N., Sivasundaram S., "Two-point boundary value problems associated with a system of generalized matrix differential equations", Dynamic Systems and Applications 10: 45-52 (2001).
12. Goldberg J., Potter M. C., "Differential equations", Prentice-Hall, Inc. 476 (1998).
13. Murty K.N., Lakshmi P.V.S., "On two-point boundary value problems", Journal of Math. Anal. and App. 153: 217-225 (1990).