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Dergiler / Gazi University Journal of Science / 2013 / Cilt: 26 - Sayı: 2

On the Existence Solution of a Class Boundary Integral Equations

Nizami MUSTAFA
Sayfa
165–171
Yayın Tarihi
2013-01-14
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This paper provides sufficient conditions for the existence and uniqueness solution in the space of continuous functions of class boundary integral equations.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper is devoted to investigating the existence and uniqueness solutions class boundary integral equations over a regular closed surface.
📊
Temel Bulgular & Veri:This paper is devoted to investigating the existence and uniqueness solutions class boundary integral equations over a regular closed surface.
💡
Sonuç & Katkı:This paper provides sufficient conditions for the existence and uniqueness solution in the space of continuous functions of class boundary integral equations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Boundary integral equation · Boundary value problem · Helmholtz equation.

Abstract

This paper is devoted to investigating the existence and uniqueness solutions class boundary integral equations over a regular closed surface. This paper provides sufficient conditions for the existence and uniqueness solution in the space of continuous functions of class boundary integral equations.

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Bu Makaleye Atıf Yap

MUSTAFA, N. (2013). On the Existence Solution of a Class Boundary Integral Equations. Gazi University Journal of Science, Cilt: 26 - Sayı: 2, 165–171. https://ajindex.com/articles/254943

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Kaynakça (17)

  1. Gakhov, F.D., “Boundary Value Problems”, Oxford and Addison-Wesley, Reading, Pergamon, MA, (1966).
  2. Lu, J.-K., “Boundary Value Problems for Analytic Functions”, World Scientific, Singapore-New Jersey-London-Hong Kong, (1993).
  3. Muskhelishvili, N.I., “Singular Integral Equations”, Nauka, Moscow, (1968).
  4. Belotserkovskii, S.M., Lifanov, I.K., “Numerical Methods for the Singular Integral Equations, Nauka, Moscow, (1985).
  5. Gabdulkhaev, B.G., “Optimal Approximation to Linear Problem”, Kazan University Publications, Kazan, (1980).
  6. Gabdulkhaev, B.G., “Finite Approximations of Singular Integrals, Direct Solution Methods of Singular Integral and Integro-Diffferential Equations”, Itogi Nauki i Tekniki, VINITI AN SSSR, Math. Analysis, 18: 251-301, (1980).
  7. Gabdulkhaev, B.G., Gorlov, V.E., “On the Optimal Algorithm of the Approximate Solutions of Singular Integral Equations”, Izv. Vuzov Math. 11: 13- 31, (1976).
  8. Ivanov, V.V., “The Theory of Approximate Methods and its Application to the Numerical Solution of Singular Integral Equations”, Naukova Dumka, Kiev, (1968).
  9. Jinyuan, D., “The Collocation Methods and Singular Integral Equations with Cauchy Kernels”, Acta Math. Sc. 20(B3): 289-302, (2000).
  10. Mustafaev, N.M., “On the Approximate Solution of the Singular Integral Equation that is Defined on Closed Smooth Curve”, Singular Integral Operators, AGU Publications, 91-99, Baku, (1987).
  11. Mustafa, N., “Fixed Point Theory and Approximate Solutions of Non-linear Singular Integral Equations”, Complex Variables and Elliptic Equations, 53(11): 1047-1058, (2008).
  12. Panasyuk, V.V., Savruk, M.P. and Nazarchuk, Z.T., “Singular Integral Equations Methods in Two- Dimensional Diffraction Problem”, Naukova Dumka, Kiev, (1984).
  13. Parton, V.Z. and Perlin, P.I., “Integral Equations of Elasticity Theory”, Nauka, Moscow, (1977).
  14. Prösdorf, S., “Some Class Singular Integral Equations”, Mir, Moscow, (1979). [15] Prösdorf, “Projektionsverfahren und die Naherungsweise Losung Singularer Gleichungen”, Leipziq, (1977).
  15. B., Seychuk, V.N., “Direct Methods of the Solutions of Singular Integral Equations that are Defined on Lyapunov Curve”, Ph.D. Thesis, Kishinev University, Kishinev, (1987).
  16. Zolotaryevskii, V.A., “On the Approximate Solution of Singular Integral Equations”, Math. Res., Shtiintsa, 9(3): 82-94, Kishinev, (1974).
  17. Zoloratyevskii, V.A. and Seychuk, V.N., “The Solution of the Singular Integral Equation that are Defined on Lyapunov Curve by Collocation Method”, Differ. Eqn., 19(6): 1056-1064, (1983). M