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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 9
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Original Articles

On a mixed problem with integral conditions for one-dimensional parabolic equation

Dao-Qing Dai Department of Mathematics, Sun Yat-sen (Zhongshan) University, Guangzhou, 510275, P.R, ChinaCorrespondence[email protected]
&
Yu Huang Department of Mathematics, Sun Yat-sen (Zhongshan) University, Guangzhou, 510275, P.R, China
Pages 1113-1121 | Received 01 Dec 2004, Published online: 07 Oct 2011

References

  • Adams , R.A . 1975 . Sobolev Spaces , Academic Press : New YorkLondon .
  • Benouar , NE and Yurchuk , N.IA . 1991 . mixed problem with an integral condition for parabolic equations with a Bessel operator . Differentsial'nye Uravneniya , 27 ( 12 ) : 2094 – 2098 .
  • Bouziani , A . 2002 . On the solvability of parabolic hyperbolic problems with a boundary integral condition . International Journal of Mathematics Mathematical Sciences , 31 ( 4 ) : 201 – 213 .
  • Bouziani , A and Benouar , N.E . 1995 . Mixed problem with integral conditions for certain parabolic equations . Comptes Rendus Academie des Sciences. ParisSeries I Mathematics , 321 ( 9 ) : 1177 – 1182 .
  • Cannon , J.R , Prez Esteva , S and van der Hoek , JA . 1987 . Galerkin procedure for the diffusion equation subject to the specification of mass. . SIAM Journal on Numerical Analysis , 24 ( 3 ) : 499 – 515 .
  • Cannon , JR and van der Hoek , J . 1986 . Diffusion subject to the specification of mass. . Journal of Mathematical Analysis Applications , 115 ( 2 ) : 517 – 529 .
  • Choi , YS and Chan , K.-YA . 1992 . parabolic equation with nonlocal boundary conditions arising from electrochemistry. . Nonlinear Anal. TMA , 18 ( 4 ) : 317 – 331 .
  • Kress , R . 1989 . Linear Integral EquationsApplied Mathematical Sciences , Vol. 82 , Springer-Verlag : New York .
  • Pazy , A . 1983 . Semigroups of Linear Operators Applications to Partial Differential EquationsApplied Mathematical Sciences , Vol. 44 , Springer-Verlag : New York .
  • Yosida , K . 1966 . Functional Analysis , Springer-Verlag : Berlin .
  • Yurchuk , N.I . 1986 . A mixed problem with an integral condition for some parabolic equations. . Differentsial'nye Uravneniya , 22 ( 12 ) : 2117 – 2126 .

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