메뉴 건너뛰기




Volumn 18, Issue 4, 1998, Pages 359-402

Irregular boundary value problems for ordinary differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33749565788     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1998.18.4.359     Document Type: Article
Times cited : (10)

References (45)
  • 1
    • 0039846750 scopus 로고
    • Green's function for ordinary differential operators, J
    • Benzinger, H.E.: Green's function for ordinary differential operators, J. Differen. Equations, 7 (1970), 478–496.
    • (1970) Differen. Equations , vol.7 , pp. 478-496
    • Benzinger, H.E.1
  • 3
    • 0000433118 scopus 로고
    • Boundary value and expansion problems of ordinary linear differential equations, Trans
    • Birkhoff, G.D.: Boundary value and expansion problems of ordinary linear differential equations, Trans. Amer. Math. Soc., 9 (1908), 373–395.
    • (1908) Amer. Math. Soc. , vol.9 , pp. 373-395
    • Birkhoff, G.D.1
  • 5
    • 0007133590 scopus 로고
    • Stone-regulaUre Eigenwertprobleme, Math
    • Eberhard, W., Freiling, G.: Stone-regulaUre Eigenwertprobleme, Math. Zeit., 160 (1978), 139–161.
    • (1978) Zeit. , vol.160 , pp. 139-161
    • Eberhard, W.1    Freiling, G.2
  • 6
    • 33646121018 scopus 로고
    • On the completeness and minimality of the derived chains of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependant on the parameter
    • Freiling, G.: On the completeness and minimality of the derived chains of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependant on the parameter, Results in Mathematics, 14 (1988), 64–83.
    • (1988) Results in Mathematics , vol.14 , pp. 64-83
    • Freiling, G.1
  • 7
    • 70350399024 scopus 로고
    • Boundary value problems associated with multiple roots of the characteristic equation
    • Freiling, G.: Boundary value problems associated with multiple roots of the characteristic equation, Results in Mathematics, 11 (1987), 44–62.
    • (1987) Results in Mathematics , vol.11 , pp. 44-62
    • Freiling, G.1
  • 8
    • 84975951059 scopus 로고
    • General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation
    • Edinburgh
    • Freiling, G.: General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation, Proc. Royal Soc. Edinburgh, 108A (1988), no.1–2, 45–56.
    • (1988) Proc. Royal Soc. , vol.108A , Issue.1–2 , pp. 45-56
    • Freiling, G.1
  • 9
    • 33749541717 scopus 로고
    • On fold-completeness of a system of eigenfunctions and associated functions of a class of differential operators, DAN Azerb
    • Gasumov, M.G., Magerramov, A.M.: On fold-completeness of a system of eigenfunctions and associated functions of a class of differential operators, DAN Azerb. SSR, 30 (1974), no.3, 9–12.
    • (1974) SSR , vol.30 , Issue.3 , pp. 9-12
    • Gasumov, M.G.1    Magerramov, A.M.2
  • 10
    • 33749541718 scopus 로고
    • Investigation of a class of differential operator pencils of even order
    • Gasumov, M.G., Magerramov, A.M.: Investigation of a class of differential operator pencils of even order, DAN SSSR, 265 (1982), no.2, 277–280.
    • (1982) DAN SSSR , vol.265 , Issue.2 , pp. 277-280
    • Gasumov, M.G.1    Magerramov, A.M.2
  • 11
    • 21244455341 scopus 로고
    • On stability of a boundary value problem of the heat theory with nonseparated boundary conditions, Differen
    • Ionkin, N.I.: On stability of a boundary value problem of the heat theory with nonseparated boundary conditions, Differen. Uravneniya, 15 (1979), no.7, 1279–1283.
    • (1979) Uravneniya , vol.15 , Issue.7 , pp. 1279-1283
    • Ionkin, N.I.1
  • 12
    • 0039403617 scopus 로고
    • On a problem for the heat equation with two point boundary conditions, Differen
    • Ionkin, N.I., Moiseev, E.I.: On a problem for the heat equation with two point boundary conditions, Differen. Uravneniya, 15 (1979), no.7, 1284–1295.
    • (1979) Uravneniya , vol.15 , Issue.7 , pp. 1284-1295
    • Ionkin, N.I.1    Moiseev, E.I.2
  • 14
    • 0007142425 scopus 로고
    • Abgeleitete Birkhoff-Reihen bei Randeigenwertproblemen zu mit A-abhaUngigen Randbedingungen
    • Aachen
    • Kaufmann, F.J.: Abgeleitete Birkhoff-Reihen bei Randeigenwertproblemen zu mit A-abhaUngigen Randbedingungen, Dissertation, Aachen, 1988.
    • (1988) Dissertation
    • Kaufmann, F.J.1
  • 15
    • 0002917393 scopus 로고
    • On eigenvalues and eigenfunctions of some classes of non-selfadjoint equations
    • Keldysh, M.V.: On eigenvalues and eigenfunctions of some classes of non-selfadjoint equations, DAN SSSR, 77 (1951), no.l, 11–14.
    • (1951) DAN SSSR , vol.77 , Issue.l , pp. 11-14
    • Keldysh, M.V.1
  • 16
    • 0042776261 scopus 로고
    • Eigenfunction expansions of ordinary linear differential operators in a finite interval, Soviet Math
    • Khromov, A.P.: Eigenfunction expansions of ordinary linear differential operators in a finite interval, Soviet Math. Dokl., 3 (1962), 1510–1514.
    • (1962) Dokl. , vol.3 , pp. 1510-1514
    • Khromov, A.P.1
  • 17
    • 0039908384 scopus 로고
    • Summability of eigenfunction expansions of differential operators and convolution operators, Funk
    • Kostjuchenko, A.G., Shkalikov, A.A.: Summability of eigenfunction expansions of differential operators and convolution operators, Funk. Anal, i evo Prilozh., 12 (1978), no.4, 24–40.
    • (1978) Anal, i evo Prilozh. , vol.12 , Issue.4 , pp. 24-40
    • Kostjuchenko, A.G.1    Shkalikov, A.A.2
  • 18
    • 38249023966 scopus 로고
    • Spectral theory of two-point differential operators getermined by -D2
    • Lang, P., Locker, J.: Spectral theory of two-point differential operators getermined by -D2. I. Spectral properties, J. of Math. Anal, and Appl., 141 (1989), no.2, 538–558.
    • (1989) I. Spectral properties, J. of Math. Anal, and Appl. , vol.141 , Issue.2 , pp. 538-558
    • Lang, P.1    Locker, J.2
  • 19
    • 0025384372 scopus 로고
    • Spectral theory of two-point differential operators getermined by -D2. II. Analysis of cases
    • Lang, P., Locker, J.: Spectral theory of two-point differential operators getermined by -D2. II. Analysis of cases, J. of Math. Anal, and Appl., 146 (1989), no.l, 148–191.
    • (1989) J. of Math. Anal, and Appl. , vol.146 , Issue.l , pp. 148-191
    • Lang, P.1    Locker, J.2
  • 20
    • 44049115719 scopus 로고
    • Eigenfunction expansions for the nonspectral differential operators determined by -D2, J
    • Lang, P., Locker, J.: Eigenfunction expansions for the nonspectral differential operators determined by -D2, J. of Differ. Eq., 96 (1992), no.2, 318–339.
    • (1992) of Differ. Eq. , vol.96 , Issue.2 , pp. 318-339
    • Lang, P.1    Locker, J.2
  • 21
    • 84974133074 scopus 로고
    • The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness
    • Locker, J.: The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness, Proceed, of the Royal Soc. of Edinburgh, 121A (1992), 279–301.
    • (1992) Proceed, of the Royal Soc. of Edinburgh , vol.121A , pp. 279-301
    • Locker, J.1
  • 22
    • 33749577007 scopus 로고
    • On functions expansion to the series of solutions residue of irregular boundary value problems
    • in AGU named after S.M. Kirov
    • Mamedov, Yu. A.: On functions expansion to the series of solutions residue of irregular boundary value problems, in “Investigations on differential equations”, AGU named after S.M. Kirov, 1984, 94–98.
    • (1984) “Investigations on differential equations” , pp. 94-98
    • Mamedov, Y.A.1
  • 24
    • 0039873699 scopus 로고
    • UUber eine Erweiterung des RegularitaUtsbegriffes bei Randwertproblemen gewoUhnlicher Differentialgleichungen
    • Aachen
    • Minkler, H.: UUber eine Erweiterung des RegularitaUtsbegriffes bei Randwertproblemen gewoUhnlicher Differentialgleichungen, Dissertation, Aachen, 1978.
    • (1978) Dissertation
    • Minkler, H.1
  • 25
    • 84896783311 scopus 로고
    • Linear Differential Operators
    • New York
    • Naimark, M.A.: Linear Differential Operators, Ungar, New York, 1967.
    • (1967) Ungar
    • Naimark, M.A.1
  • 27
    • 85026064421 scopus 로고
    • Applications of the Contour Integral Method
    • Moscow
    • Rasulov, M.L.: Applications of the Contour Integral Method, Nauka, Moscow, 1975.
    • (1975) Nauka
    • Rasulov, M.L.1
  • 28
    • 51649194761 scopus 로고
    • Analitic properties of the scattering matrix
    • Regge, T.: Analitic properties of the scattering matrix, Nuovo Cimento, 8 (1958), no.5, 671–679.
    • (1958) Nuovo Cimento , vol.8 , Issue.5 , pp. 671-679
    • Regge, T.1
  • 29
    • 51249193285 scopus 로고
    • Construction of potentials from resonance parameters
    • Regge, T.: Construction of potentials from resonance parameters, Nuovo Cimento, 9 (1963), no.3, 491–503.
    • (1963) Nuovo Cimento , vol.9 , Issue.3 , pp. 491-503
    • Regge, T.1
  • 30
    • 0039995580 scopus 로고
    • On some problems of the differential equations theory
    • Samaxskii, A.A.: On some problems of the differential equations theory, Differ. Uravn., 16 (1980), no.ll, 1925–1935.
    • (1980) Differ. Uravn. , vol.16 , Issue.ll , pp. 1925-1935
    • Samaxskii, A.A.1
  • 31
    • 0011328861 scopus 로고
    • On completeness of eigenfunctions and associated functions of an ordinary differential operator with separated irregular boundary conditions, Funk
    • Shkalikov, A.A.: On completeness of eigenfunctions and associated functions of an ordinary differential operator with separated irregular boundary conditions, Funk. Anal, i evo Prilozh, 10 (1976), no.4, 69–80.
    • (1976) Anal, i evo Prilozh , vol.10 , Issue.4 , pp. 69-80
    • Shkalikov, A.A.1
  • 32
    • 0000653512 scopus 로고
    • Boundary value problems for ordinary differential equations with a parameter in boundary conditions
    • imeny I.G. Petrovskovo, 9 (1983), 190–229 (Engl.transl. in: J. Soviet Math.
    • Shkalikov, A.A.: Boundary value problems for ordinary differential equations with a parameter in boundary conditions, Trudy sem. imeny I.G. Petrovskovo, 9 (1983), 190–229 (Engl.transl. in: J. Soviet Math., 33 (1986), 1311–1342).
    • (1986) Trudy sem. , vol.33 , pp. 1311-1342
    • Shkalikov, A.A.1
  • 33
    • 85026103931 scopus 로고
    • Differential Equations in a Banach Space and Parabolic Equations in Spaces of Smooth Functions
    • VGU, Voronezh
    • Silchenko, Yu. T.: Differential Equations in a Banach Space and Parabolic Equations in Spaces of Smooth Functions, Ph. D. Thesis, VGU, Voronezh, 1978.
    • (1978) Ph. D. Thesis
    • Silchenko, Y.T.1
  • 34
    • 0040426977 scopus 로고
    • Irregular differential system of order two and related expansion problems, Trans
    • Stone, M.H.: Irregular differential system of order two and related expansion problems, Trans. Amer. Math. Soc., 29 (1927), 23–53.
    • (1927) Amer. Math. Soc. , vol.29 , pp. 23-53
    • Stone, M.H.1
  • 37
    • 0003330595 scopus 로고
    • Interpolation Theory
    • Differential Operators, North-Holland, Amsterdam
    • Triebel, H.: Interpolation Theory. Function Spaces. Differential Operators, North-Holland, Amsterdam, 1978.
    • (1978) Function Spaces.
    • Triebel, H.1
  • 38
    • 33746192457 scopus 로고
    • On eigenvectors of irregular differential pencils with non-separated boundary conditions
    • Vagabov, A.I.: On eigenvectors of irregular differential pencils with non-separated boundary conditions, DAN SSSR, 261 (1981), no. 2, 268–271.
    • (1981) DAN SSSR , vol.261 , Issue.2 , pp. 268-271
    • Vagabov, A.I.1
  • 39
    • 0040023452 scopus 로고
    • Linear Differential-Operator Equations and Their Applications
    • Baku
    • Yakubov, S.: Linear Differential-Operator Equations and Their Applications, Elm, Baku, 1985.
    • (1985) Elm
    • Yakubov, S.1
  • 40
    • 0003558083 scopus 로고
    • Completeness of Root Functions of Regular Differential Operators
    • New York
    • Yakubov, S.: Completeness of Root Functions of Regular Differential Operators, Longman Scientific and Technical, New York, 1994.
    • (1994) Longman Scientific and Technical
    • Yakubov, S.1
  • 42
    • 0040272574 scopus 로고
    • The investigation of the resolvent of an operator generated by irregular boundary conditions and ordinary differential expressions, DAN Azerb
    • Yakubov, Y.: The investigation of the resolvent of an operator generated by irregular boundary conditions and ordinary differential expressions, DAN Azerb. SSR 40 (1984), no.8, 3–5.
    • (1984) SSR , vol.40 , Issue.8 , pp. 3-5
    • Yakubov, Y.1
  • 43
    • 85026050304 scopus 로고
    • Well-possedness of an irregular initial boundary value problem and completeness of its elementary solutions
    • confer, molodukh ychonukh, Baku 6–8 May
    • Yakubov, Y.: Well-possedness of an irregular initial boundary value problem and completeness of its elementary solutions, Materiali VI respub. confer, molodukh ychonukh, Baku, 1985, 6–8 May, 227–230.
    • (1985) Materiali VI respub. , pp. 227-230
    • Yakubov, Y.1
  • 44
    • 0040501372 scopus 로고
    • Coercive Boundary Value Problems with a Defect
    • AGU, Baku
    • Yakubov, Y.: Coercive Boundary Value Problems with a Defect, Ph. D. Thesis, AGU, Baku, 1986.
    • (1986) Ph. D. Thesis
    • Yakubov, Y.1
  • 45
    • 85026024317 scopus 로고
    • Spectral properties of multipoint problems
    • VGU, Voronezh
    • Zavgorodnii, M.G.: Spectral properties of multipoint problems, Ph. D. Thesis, VGU, Voronezh, 1984.
    • (1984) Ph. D. Thesis
    • Zavgorodnii, M.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.