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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 6-7
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Original Articles

Linear and nonlinear nonlocal boundary value problems for differential-operator equations

Ravi P. Agarwal Department of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901-6975, USACorrespondence[email protected]
,
Martin Bohner Department of Mathematics and Statistics, University of Missouri–Rolla, Rolla, MO 65409--0020, USA
&
Veli B. Shakhmurov Engineering Faculty, Department of Electrical–Electronics Engineering, Istanbul University, Avcilar, 34850 Istanbul, Turkey
Pages 701-716 | Accepted 14 Dec 2005, Published online: 28 Nov 2010

References

  • Agarwal , RP , Bohner , M , Veli , B and Shakhmurov . 2005 . Maximal regular boundary value problems in Banach-valued weighted space . Boundary Value Problems , 1 ( 1 ) : 9 – 42 .
  • Agmon , S and Nirenberg , L . 1963 . Properties of solutions of ordinary differential equations in Banach space. . Communications on Pure and Applied Mathematics , 16 : 121 – 239 .
  • Amann , H . 1995 . “ Linear and Quasilinear Parabolic Problems ” . In Monographs in Mathematics , Vol. I Vol. 89 , Boston, MA : Birkhäuser Boston Inc. .
  • Besov , OV , Il'in , VP and Nikol'ski , SM . 1975 . Integralnye predstavleniya funktsii i teoremy vlozheniya , Nauka, Moscow : Izdat .
  • Denk , R , Hieber , M and Prüss , J . 2003 . R-boundedness, Fourier multipliers and problems of elliptic and parabolic type . Memoirs of the American Mathematical Society , 166 ( 788 ) : viii+114
  • Haller , R , Heck , H and Noll , A . 2002 . Mikhlin's theorem for operator-valued Fourier multipliers in n variables. . Mathematische Nachrichten , 244 : 110 – 130 .
  • Kre[icaron]n , SG . 1971 . Linear Differential Equations in Banach Space , Providence, RI : American Mathematical Society .
  • Lions , J-L and Peetre , J . 1964 . Sur une classe d'espaces d'interpolation. . Publications Mathematiques. Institut de Hautes Etudes Scientifiques , 19 : 5 – 68 .
  • Shakhmurov , VB . 2004 . Coercive boundary value problems for regular degenerate differential-operator equations . Journal of Mathematical Analysis and Applications , 292 ( 2 ) : 605 – 620 .
  • Triebel , H . 1978 . “ Interpolation Theory, Function Spaces, Differential Operators ” . In North-Holland Mathematical Library , Vol. 18 , Amsterdam : North-Holland Publishing Co .
  • Weis , L . 2001 . Operator-valued Fourier multiplier theorems and maximal Lp-regularity . Mathematische Annalen , 319 ( 4 ) : 735 – 758 .
  • Yakubov , S and Yakubov , Y . 2000 . “ Differential-Operator Equations ” . In Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics , Vol. 103 , Boca Raton, FL : Chapman & Hall/CRC .

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