Öz
Bu çalışmada, bir integro-diferensiyel denklem için bir sınır değer problemi ele alınmıştır. Problemin çözümünün varlığı ve tekliği ön değerlendirmeler ve Galerkin metodu kullanılarak ispatlanmıştır
Anahtar Kelimeler
Sınır değer problemi Varlık İntegro-diferensiyel denklem Teklik
Kaynakça
- Adams, RA., Fournier, JJ. 2003. Sobolev spaces (Vol. 140). Elsevier.
- Amirov, AK. 2001. Integral Geometry and Inverse Problems for Kinetic Equations, VSP, Utrecht The Netherlands, 201 pp
- Dennis, MR., Glendinning, P., Martin, PA., Santosa, F., Tanner, J. 2015. The Princeton Companion to Applied Mathematics, Princeton University Press.
- Gölgeleyen, I. 2010. On the Solution of an Inverse Problem for an Integro-differential Transport Equation. CMES-Comp. Model. Eng. Sci., 64(1): 71-89.
- Kolmogorov, AN., Fomin, SV. 2012. Introductory Real Analysis, Courier Corporation.
- Lavrent’ev, MM., Romanov, VG., Shishatskii, SP. 1986. IllPosed Problems of Mathematical Physics and Analysis.
- American Mathematical Society, Providence, RI, 290 pp.
- Mikhailov, VP. 1978. Partial Differential Equations, Mir Publishers, Moscow, 396 pp.
- Reddy, BD. 2013. Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements(Vol. 27), Springer Science & Business Media.
- Yildiz, M. 1995. Some Problems in the Generalized Function Classes for the Elliptic Equation Lu / x uT + = kux xf( , x y), Ph. D. Thesis, Ankara University
Öz
In this work, we consider a boundary value problem for an integro-differential equation. We prove the uniqueness and existence of the solution of the problem by using a priori estimates and Galerkin method.
Anahtar Kelimeler
Integro-differential equation Boundary value problem Uniqueness Existence
Kaynakça
- Adams, RA., Fournier, JJ. 2003. Sobolev spaces (Vol. 140). Elsevier.
- Amirov, AK. 2001. Integral Geometry and Inverse Problems for Kinetic Equations, VSP, Utrecht The Netherlands, 201 pp
- Dennis, MR., Glendinning, P., Martin, PA., Santosa, F., Tanner, J. 2015. The Princeton Companion to Applied Mathematics, Princeton University Press.
- Gölgeleyen, I. 2010. On the Solution of an Inverse Problem for an Integro-differential Transport Equation. CMES-Comp. Model. Eng. Sci., 64(1): 71-89.
- Kolmogorov, AN., Fomin, SV. 2012. Introductory Real Analysis, Courier Corporation.
- Lavrent’ev, MM., Romanov, VG., Shishatskii, SP. 1986. IllPosed Problems of Mathematical Physics and Analysis.
- American Mathematical Society, Providence, RI, 290 pp.
- Mikhailov, VP. 1978. Partial Differential Equations, Mir Publishers, Moscow, 396 pp.
- Reddy, BD. 2013. Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements(Vol. 27), Springer Science & Business Media.
- Yildiz, M. 1995. Some Problems in the Generalized Function Classes for the Elliptic Equation Lu / x uT + = kux xf( , x y), Ph. D. Thesis, Ankara University
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 8 Sayı: 2 |