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Volumn 2004, Issue 2, 2004, Pages 273-286

On well-posedness of the nonlocal boundary value problem for parabolic difference equations

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EID: 11144291559     PISSN: 10260226     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1026022604403033     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 11144332247 scopus 로고
    • The stability of difference schemes for parabolic equations
    • Russian
    • H. A. Alibekov and P. E. Sobolevskii, The stability of difference schemes for parabolic equations, Dokl. Akad. Nauk SSSR 232 (1977), no. 4, 737-740 (Russian).
    • (1977) Dokl. Akad. Nauk SSSR , vol.232 , Issue.4 , pp. 737-740
    • Alibekov, H.A.1    Sobolevskii, P.E.2
  • 2
    • 0038976615 scopus 로고
    • Stability and convergence of high-order difference schemes of approximation for parabolic equations
    • Russian
    • H. A. Alibekov and P. E. Sobolevskii, Stability and convergence of high-order difference schemes of approximation for parabolic equations Ukrain. Mat. Zh. 31 (1979), no. 6, 627-634 (Russian ).
    • (1979) Ukrain. Mat. Zh. , vol.31 , Issue.6 , pp. 627-634
    • Alibekov, H.A.1    Sobolevskii, P.E.2
  • 3
    • 11144311679 scopus 로고
    • A purely implicit difference scheme of second order of approximation for parabolic equations
    • SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 1987 (Russian)
    • A. Ashyralyev, A purely implicit difference scheme of second order of approximation for parabolic equations, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 1987 (1987), no. 4, 3-13 (Russian).
    • (1987) Izv. Akad. Nauk Turkmen , Issue.4 , pp. 3-13
    • Ashyralyev, A.1
  • 4
    • 0012231681 scopus 로고
    • Correct solvability of Padé difference schemes for parabolic equations in Hölder spaces
    • Russian
    • A. Ashyralyev, Correct solvability of Padé difference schemes for parabolic equations in Hölder spaces, Ukrain. Mat. Zh. 44 (1992), no. 11, 1466-1476 (Russian).
    • (1992) Ukrain. Mat. Zh. , vol.44 , Issue.11 , pp. 1466-1476
    • Ashyralyev, A.1
  • 5
  • 6
    • 0012276256 scopus 로고    scopus 로고
    • Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
    • A. Ashyralyev, A. Hanalyev, and P. E. Sobolevskii, Coercive solvability of the nonlocal boundary value problem for parabolic differential equations, Abstr. Appl. Anal. 6 (2001), no. 1, 53-61.
    • (2001) Abstr. Appl. Anal. , vol.6 , Issue.1 , pp. 53-61
    • Ashyralyev, A.1    Hanalyev, A.2    Sobolevskii, P.E.3
  • 7
    • 11144275589 scopus 로고    scopus 로고
    • h of one dimensional difference operators with nonlocal boundary conditions
    • Fatih University, Istanbul
    • h of one dimensional difference operators with nonlocal boundary conditions, Some Problems of Applied Mathematics, Fatih University, Istanbul, 2000, pp. 45-60.
    • (2000) Some Problems of Applied Mathematics , pp. 45-60
    • Ashyralyev, A.1    Kendirli, B.2
  • 8
    • 0037828048 scopus 로고    scopus 로고
    • Positivity in Hölder norms of one-dimensional difference operators with nonlocal boundary conditions
    • (Sozopol, 2000), Heron Press, Sofia
    • A. Ashyralyev and B. Kendirli, Positivity in Hölder norms of one-dimensional difference operators with nonlocal boundary conditions Applications of Mathematics in Engineering and Economics (Sozopol, 2000), Heron Press, Sofia, 2001, pp. 134-137.
    • (2001) Applications of Mathematics in Engineering and Economics , pp. 134-137
    • Ashyralyev, A.1    Kendirli, B.2
  • 9
    • 0012230502 scopus 로고
    • The theory of interpolation of linear operators and the stability of difference schemes
    • Russian
    • A. Ashyralyev and P. E. Sobolevskii, The theory of interpolation of linear operators and the stability of difference schemes, Dokl. Akad. Nauk SSSR 275 (1984), no. 6, 1289-1291 (Russian).
    • (1984) Dokl. Akad. Nauk SSSR , vol.275 , Issue.6 , pp. 1289-1291
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 10
    • 0012234658 scopus 로고
    • Difference schemes of a high order of accuracy for parabolic equations with variable coefficients
    • Ser. A (Russian)
    • A. Ashyralyev and P. E. Sobolevskii, Difference schemes of a high order of accuracy for parabolic equations with variable coefficients, Dokl. Akad. Nauk Ukrain. SSR Ser. A 1988 (1988), no. 6, 3-7 (Russian).
    • (1988) Dokl. Akad. Nauk Ukrain. SSR , vol.1988 , Issue.6 , pp. 3-7
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 12
    • 0012289482 scopus 로고
    • Well-posed solvability of the Cauchy problem for difference equations of parabolic type
    • A. Ashyralyev and P. E. Sobolevskii, Well-posed solvability of the Cauchy problem for difference equations of parabolic type, Nonlinear Anal. 24 (1995), no. 2, 257-264.
    • (1995) Nonlinear Anal. , vol.24 , Issue.2 , pp. 257-264
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 13
    • 11144254806 scopus 로고
    • Positivity of multidimensional difference operators in the C-norm
    • Russian
    • Y. A. Smirnitskii and P. E. Sobolevskii, Positivity of multidimensional difference operators in the C-norm, Uspekhi Mat. Nauk 36 (1981), no. 4, 202-203 (Russian).
    • (1981) Uspekhi Mat. Nauk , vol.36 , Issue.4 , pp. 202-203
    • Smirnitskii, Y.A.1    Sobolevskii, P.E.2
  • 14
    • 0012321219 scopus 로고
    • The coercive solvability of difference equations
    • Russian
    • P. E. Sobolevskii, The coercive solvability of difference equations Dokl. Akad. Nauk SSSR 201 (1971), 1063-1066 (Russian).
    • (1971) Dokl. Akad. Nauk SSSR , vol.201 , pp. 1063-1066
    • Sobolevskii, P.E.1
  • 15
    • 0037490473 scopus 로고
    • The theory of semigroups and the stability of difference schemes
    • (Proc. School, Novosibirsk, 1975), Izdat. "Nauka" Sibirsk. Otdel., Novosibirsk
    • P. E. Sobolevskii, The theory of semigroups and the stability of difference schemes, Operator Theory in Function Spaces (Proc. School, Novosibirsk, 1975), Izdat. "Nauka" Sibirsk. Otdel., Novosibirsk, 1977, pp. 304-337.
    • (1977) Operator Theory in Function Spaces , pp. 304-337
    • Sobolevskii, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.