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Original Articles

Classical Solution for Initial–Boundary Value Problem for Wave Equation with Integral Boundary Condition

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Pages 309-329 | Received 08 Sep 2010, Accepted 12 Apr 2012, Published online: 25 May 2012

References

  • M. Abramovits and I. Stigan . Reference-Book for Special Functions . Science , Moscow , 1979 . (in Russian)
  • S.M. Apollonskiy and V.T. Erofeenko . Equivalent Boundary Conditions in Electrodynamics . Bezopasnost , St. Petersburg , 1999 . (in Russian)
  • V.B. Dmitriev . Nonlocal problem with integral condition for hyperbolic equation . Bulletin of Samara Technical University , 42 : 35 – 40 , 2006 . (in Russian)
  • V.B. Dmitriev . Nonlocal problem with integral conditions for wave equation . Bulletin of Samara State University , 2 42 : 15 – 27 , 2006 . (in Russian)
  • E.A. Eremin and M.V. Urev . Generalized statement of initial–boundary value problem for Maxwell's system with new boundary conditions . Proceedings of Russian Academy of Science. Comp. Math ., 5 : 109 – 115 , 1996 . (in Russian)
  • V.T. Erofeenko , V.I. Korzyuk and J.V. Pulko . Characteristics method for initial boundary-value problem for wave equation with boundary condition . First International Conference Mathematical Modeling and Differential Equations , p. 53 , 2008 .
  • V.T. Erofeenko and I.S. Kozlovskaya . Mathematical Models in Electrodynamics. Part 2 . Belarusian State University Publisher , Minsk , 2008 . (in Russian)
  • D.G. Gordeziani and G.A. Avalishvili . Solution of nonlocal problem for one-dimensional string oscillation . Math. Modeling , 12 1 : 94 – 103 , 2000 . (in Russian)
  • V.I. Korzyuk , V.T. Erofeenko and J.V. Pulko . Classical solution for wave equation for initial–boundary value problem with integral with respect to time boundary condition . Reports of Belarusian National Academy of Science , 53 5 : 36 – 41 , 2009 . (in Russian)
  • V.I. Korzyuk , V.T. Erofeenko and J.V. Pulko . Initial–boundary value problem for wave equation with fractional derivative in boundary condition . AMADE-2009 , pp. 60 – 61 , 2009 . (in Russian)
  • V.I. Korzyuk and J.V. Pulko . Initial–boundary value problem for wave equation with integral boundary condition . Abstracts of 13th International Conference ‘Mathematical Modelling and Analysis’ (Jule 4–7, 2008, Tartu (Kaariku), Estonia) , pp. 60 – 61 , 2009 . (in Russian)
  • A.I. Kozhanov and L.S. Pulkina . Boundary-value problems with integral condition for multidimensional hyperbolic equations . Russian Academy of Science Reports , 404 5 : 589 – 592 , 2005 . (in Russian)
  • V.F. Kravchenko and V.T. Erofeenko . About impedance boundary conditions taking into account curvature of surface . Pyrotechnics and Electronics , 45 11 : 1300 – 1306 , 2000 . (in Russian)
  • L.S. Pulkina . About solubility of nonlocal problem with integral boundary conditions for hyperbolical equation . Bulletin of Samara State University , 2 80 : 63 – 67 , 1998 . (in Russian)
  • L.S. Pulkina . Mixed problem with integral condition for hyperbolic equation . Math. Notes , 74 3 : 435 – 445 , 2003 . (in Russian)
  • L.S. Pulkina . Nonlocal problem with integral conditions for hyperbolic equation . Differ. Equ ., 40 7 : 887 – 892 , 2004 . (in Russian)
  • L.S. Pulkina . Nonlocal problem with integral condition of the first kind for multidimensional hyperbolic equation . Russian Academy of Science Reports , 416 5 : 597 – 599 , 2007 . (in Russian)
  • M.V. Urev . Boundary conditions for Maxwell's equations with arbitrary time dependance . J. Comput. Math. and Math. Phys ., 37 12 : 1489 – 1497 , 1997 . (in Russian)

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