Uğurlu, Ekin; Bairamov, Elgiz Fourth order differential operators with distributional potentials. (English) Zbl 07257607 Turk. J. Math. 44, No. 3, 825-856 (2020). Reviewer: Namig Guliyev (Baku) MSC: 34B09 34B08 34B20 47E05 PDF BibTeX XML Cite \textit{E. Uğurlu} and \textit{E. Bairamov}, Turk. J. Math. 44, No. 3, 825--856 (2020; Zbl 07257607) Full Text: DOI
Frymark, Dale Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator. (English) Zbl 07216743 J. Differ. Equations 269, No. 10, 7931-7974 (2020). MSC: 47 34B20 34B24 34L15 47B25 47E05 PDF BibTeX XML Cite \textit{D. Frymark}, J. Differ. Equations 269, No. 10, 7931--7974 (2020; Zbl 07216743) Full Text: DOI
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. I. (English) Zbl 1416.81063 Bull. Math. Sci. 8, No. 1, 121-232 (2018). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 01A70 PDF BibTeX XML Cite \textit{B. Simon}, Bull. Math. Sci. 8, No. 1, 121--232 (2018; Zbl 1416.81063) Full Text: DOI
Uğurlu, Ekin Investigation of the spectral properties of a fourth order differential operator with finite transmission conditions. (English) Zbl 1338.34162 Math. Methods Appl. Sci. 39, No. 6, 1298-1310 (2016). MSC: 34L05 34B05 34B20 34B27 34B37 34B40 34L10 47B44 PDF BibTeX XML Cite \textit{E. Uğurlu}, Math. Methods Appl. Sci. 39, No. 6, 1298--1310 (2016; Zbl 1338.34162) Full Text: DOI
Zettl, Anton; Sun, Jiong Survey article: Self-adjoint ordinary differential operators and their spectrum. (English) Zbl 1369.47057 Rocky Mt. J. Math. 45, No. 3, 763-886 (2015). MSC: 47E05 47-02 PDF BibTeX XML Cite \textit{A. Zettl} and \textit{J. Sun}, Rocky Mt. J. Math. 45, No. 3, 763--886 (2015; Zbl 1369.47057) Full Text: DOI Euclid
Yardımcı, Şeyhmus; Uğurlu, Ekin Nonlinear fourth order boundary value problem. (English) Zbl 1309.34038 Bound. Value Probl. 2014, Paper No. 189, 10 p. (2014). MSC: 34B40 34B15 34B16 47N20 34B37 PDF BibTeX XML Cite \textit{Ş. Yardımcı} and \textit{E. Uğurlu}, Bound. Value Probl. 2014, Paper No. 189, 10 p. (2014; Zbl 1309.34038) Full Text: DOI
Behrndt, Jussi; Hassi, Seppo; De Snoo, Henk; Wietsma, Rudi Square-integrable solutions and Weyl functions for singular canonical systems. (English) Zbl 1232.34037 Math. Nachr. 284, No. 11-12, 1334-1384 (2011). Reviewer: Petr Zemanek (Brno) MSC: 34B20 34B05 34A30 47E05 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Math. Nachr. 284, No. 11--12, 1334--1384 (2011; Zbl 1232.34037) Full Text: DOI
Roque, Marian P.; Schultze, Bernd On the deficiency index of even order symmetric differential expressions with essential spectrum. (English) Zbl 1216.34087 Math. Nachr. 284, No. 5-6, 790-796 (2011). MSC: 34L05 47E05 PDF BibTeX XML Cite \textit{M. P. Roque} and \textit{B. Schultze}, Math. Nachr. 284, No. 5--6, 790--796 (2011; Zbl 1216.34087) Full Text: DOI
Sun, Shurong; Shi, Yuming; Chen, Shaozhu The Glazman–Krein–Naimark theory for a class of discrete Hamiltonian systems. (English) Zbl 1112.39009 J. Math. Anal. Appl. 327, No. 2, 1360-1380 (2007). Reviewer: Dingyong Bai (Guangzhou) MSC: 39A12 37J05 PDF BibTeX XML Cite \textit{S. Sun} et al., J. Math. Anal. Appl. 327, No. 2, 1360--1380 (2007; Zbl 1112.39009) Full Text: DOI
Shi, Yuming Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems. (English) Zbl 1100.39020 Linear Algebra Appl. 416, No. 2-3, 452-519 (2006). Reviewer: Fozi Dannan (Damascus) MSC: 39A12 39A10 34B20 34B27 47A10 47B39 PDF BibTeX XML Cite \textit{Y. Shi}, Linear Algebra Appl. 416, No. 2--3, 452--519 (2006; Zbl 1100.39020) Full Text: DOI
Chen, Jingnian; Shi, Yuming The limit circle and limit point criteria for second-order linear difference equations. (English) Zbl 1073.39011 Comput. Math. Appl. 47, No. 6-7, 967-976 (2004). Reviewer: Stefan Balint (Timişoara) MSC: 39A12 34C05 PDF BibTeX XML Cite \textit{J. Chen} and \textit{Y. Shi}, Comput. Math. Appl. 47, No. 6--7, 967--976 (2004; Zbl 1073.39011) Full Text: DOI
Poerschke, Thomas; Stolz, Günter On eigenfunction expansions and scattering theory. (English) Zbl 0793.47007 Math. Z. 212, No. 3, 337-357 (1993). Reviewer: G.Stolz MSC: 47A40 35P25 47B25 47A70 81U10 PDF BibTeX XML Cite \textit{T. Poerschke} and \textit{G. Stolz}, Math. Z. 212, No. 3, 337--357 (1993; Zbl 0793.47007) Full Text: DOI EuDML
Krall, Allan M. Direct decomposition of \(M(\lambda)\) matrices for Hamiltonian systems. (English) Zbl 0702.34030 Appl. Anal. 41, No. 1-4, 237-245 (1991). Reviewer: A.M.Krall MSC: 34C05 70H05 PDF BibTeX XML Cite \textit{A. M. Krall}, Appl. Anal. 41, No. 1--4, 237--245 (1991; Zbl 0702.34030) Full Text: DOI
Aomoto, K. Self-adjointness and limit pointness for adjacency operators on a tree. (English) Zbl 0698.47017 J. Anal. Math. 53, 219-232 (1989). MSC: 47B25 47E05 47B37 PDF BibTeX XML Cite \textit{K. Aomoto}, J. Anal. Math. 53, 219--232 (1989; Zbl 0698.47017) Full Text: DOI
Johnson, Russell A. m-functions and Floquet exponents for linear differential systems. (English) Zbl 0652.34016 Ann. Mat. Pura Appl., IV. Ser. 147, 211-248 (1987). Reviewer: K.Takano MSC: 34A30 34M99 34L99 35P99 PDF BibTeX XML Cite \textit{R. A. Johnson}, Ann. Mat. Pura Appl. (4) 147, 211--248 (1987; Zbl 0652.34016) Full Text: DOI
Das, Jyoti; Sengupta, Prabir Kumar On the pointwise convergence of the eigenfunction expansion associated with some iterated boundary value problems. (English) Zbl 0615.34020 Proc. Am. Math. Soc. 98, 593-600 (1986). Reviewer: W.D.Evans MSC: 34L99 PDF BibTeX XML Cite \textit{J. Das} and \textit{P. K. Sengupta}, Proc. Am. Math. Soc. 98, 593--600 (1986; Zbl 0615.34020) Full Text: DOI
Kato, Yoshifumi; Aomoto, Kazuhiko Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems. (English) Zbl 0598.47008 Publ. Res. Inst. Math. Sci. 20, 635-658 (1984). MSC: 47A40 47B39 PDF BibTeX XML Cite \textit{Y. Kato} and \textit{K. Aomoto}, Publ. Res. Inst. Math. Sci. 20, 635--658 (1984; Zbl 0598.47008) Full Text: DOI
Eastham, M. S. P.; Gould, K. J. Square-integrable solutions of a matrix differential expression. (English) Zbl 0508.34016 J. Math. Anal. Appl. 91, 424-433 (1983). MSC: 34B20 PDF BibTeX XML Cite \textit{M. S. P. Eastham} and \textit{K. J. Gould}, J. Math. Anal. Appl. 91, 424--433 (1983; Zbl 0508.34016) Full Text: DOI
Schultze, Bernd Green’s matrix and the formula of Titchmarsh-Kodaira for singular left- definite canonical eigenvalue problems. (English) Zbl 0415.34026 Proc. R. Soc. Edinb., Sect. A 83, 147-183 (1979). MSC: 34L99 34B27 PDF BibTeX XML Cite \textit{B. Schultze}, Proc. R. Soc. Edinb., Sect. A, Math. 83, 147--183 (1979; Zbl 0415.34026) Full Text: DOI
Ben-Artzi, Matania Eigenfunction expansions for a class of differential operators. (English) Zbl 0415.34025 J. Math. Anal. Appl. 69, 304-314 (1979). MSC: 34L99 47B25 47E05 47A70 PDF BibTeX XML Cite \textit{M. Ben-Artzi}, J. Math. Anal. Appl. 69, 304--314 (1979; Zbl 0415.34025) Full Text: DOI
Evans, W. D.; Zettl, A. Levinson’s limit-point criterion and powers. (English) Zbl 0384.34017 J. Math. Anal. Appl. 62, 629-639 (1978). MSC: 34C05 34B20 PDF BibTeX XML Cite \textit{W. D. Evans} and \textit{A. Zettl}, J. Math. Anal. Appl. 62, 629--639 (1978; Zbl 0384.34017) Full Text: DOI
Eastham, M. S. P.; Zettl, A. Second-order differential expressions whose squares are limit-3. (English) Zbl 0345.34010 Proc. R. Soc. Edinb., Sect. A 76(1976/77), 233-238 (1977). MSC: 34B20 34A30 PDF BibTeX XML Cite \textit{M. S. P. Eastham} and \textit{A. Zettl}, Proc. R. Soc. Edinb., Sect. A, Math. 76, 233--238 (1977; Zbl 0345.34010) Full Text: DOI
Krall, Allan M. n-th order Stieltjes differential-boundary operators and Stieltjes differential-boundary systems. (English) Zbl 0342.34006 J. Differ. Equations 24, 253-267 (1977). MSC: 34B05 34A30 47E05 PDF BibTeX XML Cite \textit{A. M. Krall}, J. Differ. Equations 24, 253--267 (1977; Zbl 0342.34006) Full Text: DOI
Freiling, Gerhard Ein Äquikonvergenzsatz für eine Klasse von singulären Differentialoperatoren. (German) Zbl 0339.34020 Math. Z. 153, 255-265 (1977). MSC: 34L99 34B05 47E05 47A25 42A38 44A05 PDF BibTeX XML Cite \textit{G. Freiling}, Math. Z. 153, 255--265 (1977; Zbl 0339.34020) Full Text: DOI EuDML
Lee, S. J. Formally self-adjoint systems of differential operators. (English) Zbl 0356.34009 J. Math. Anal. Appl. 55, 90-101 (1976). MSC: 34A30 47E05 47B25 PDF BibTeX XML Cite \textit{S. J. Lee}, J. Math. Anal. Appl. 55, 90--101 (1976; Zbl 0356.34009) Full Text: DOI
Chaudhuri, Jyoti; Kumar, V. Krishna On the eigenfunction expansion associated with a singular complex-valued fourth-order differential equation. (English) Zbl 0337.34022 Proc. R. Soc. Edinb., Sect. A 75(1975-1976), 325-332 (1976). MSC: 34L99 34M99 34A30 47A70 47E05 PDF BibTeX XML Cite \textit{J. Chaudhuri} and \textit{V. K. Kumar}, Proc. R. Soc. Edinb., Sect. A, Math. 75, 325--332 (1976; Zbl 0337.34022) Full Text: DOI
Fukushima, Masahisa A spectral representation on ordinary linear difference equation with operator-valued coefficients of the second order. (English) Zbl 0333.47015 J. Math. Phys. 17, 1064-1072 (1976). MSC: 47B39 47B25 39A10 47F05 PDF BibTeX XML Cite \textit{M. Fukushima}, J. Math. Phys. 17, 1064--1072 (1976; Zbl 0333.47015) Full Text: DOI
Devinatz, Allen The deficiency index problem for ordinary selfadjoint differential operators. (English) Zbl 0279.34015 Bull. Am. Math. Soc. 79(1973), 1109-1127 (1974). MSC: 34B20 PDF BibTeX XML Cite \textit{A. Devinatz}, Bull. Am. Math. Soc. 79, 1109--1127 (1974; Zbl 0279.34015) Full Text: DOI
Dijksma, A.; de Snoo, H. S. V. Integral transforms and a class of singular S-Hermitian eigenvalue problems. (English) Zbl 0268.34032 Manuscr. Math. 10, 129-139 (1973). MSC: 34L99 44A15 PDF BibTeX XML Cite \textit{A. Dijksma} and \textit{H. S. V. de Snoo}, Manuscr. Math. 10, 129--139 (1973; Zbl 0268.34032) Full Text: DOI EuDML
Dijksma, A.; de Snoo, H. S. V. Symmetric subspaces related to certain eigenvalue problems. (English) Zbl 0265.47022 Compos. Math. 26, 233-247 (1973). MSC: 47B25 47A20 47B99 34L99 47E05 PDF BibTeX XML Cite \textit{A. Dijksma} and \textit{H. S. V. de Snoo}, Compos. Math. 26, 233--247 (1973; Zbl 0265.47022) Full Text: Numdam EuDML
Cordes, H. O. Self-adjointness of powers of elliptic operators on non-compact manifolds. (English) Zbl 0235.47021 Math. Ann. 195, 257-272 (1972). MSC: 47F05 53C20 PDF BibTeX XML Cite \textit{H. O. Cordes}, Math. Ann. 195, 257--272 (1972; Zbl 0235.47021) Full Text: DOI EuDML
Nelson, C. A.; Rajagopal, A. K.; Shastry, C. S. Relation between the singularities of the S matrix and the \(L^ 2\) class of solutions in potential theory. (English) Zbl 0218.31003 J. Math. Phys. 12, 737-741 (1971). MSC: 31A15 31B15 31A20 PDF BibTeX XML Cite \textit{C. A. Nelson} et al., J. Math. Phys. 12, 737--741 (1971; Zbl 0218.31003) Full Text: DOI
Offei, D. N. The use of boundary condition functions for non-self-adjoint boundary value problems. (English) Zbl 0234.34021 J. Math. Anal. Appl. 31, 369-382 (1970). MSC: 34B15 34B27 PDF BibTeX XML Cite \textit{D. N. Offei}, J. Math. Anal. Appl. 31, 369--382 (1970; Zbl 0234.34021) Full Text: DOI
Froese, J. Asymptotic estimates for class 2 singular problems. (English) Zbl 0222.34020 J. Differ. Equations 7, 435-447 (1970). MSC: 34L05 34E10 34B99 34M99 PDF BibTeX XML Cite \textit{J. Froese}, J. Differ. Equations 7, 435--447 (1970; Zbl 0222.34020) Full Text: DOI
Niessen, Heinz-Dieter Singuläre S-hermitesche Rand-Eigenwertprobleme. (German) Zbl 0195.37603 Manuscr. Math. 3, 35-68 (1970). PDF BibTeX XML Cite \textit{H.-D. Niessen}, Manuscr. Math. 3, 35--68 (1970; Zbl 0195.37603) Full Text: DOI EuDML
Jäger, W. Ein gewöhnlicher Differentialoperator zweiter Ordnung für Funktionen mit Werten in einem Hilbertraum. (German) Zbl 0187.09001 Math. Z. 113, 68-98 (1970). PDF BibTeX XML Cite \textit{W. Jäger}, Math. Z. 113, 68--98 (1970; Zbl 0187.09001) Full Text: DOI EuDML
Pleijel, Åke Complementary remarks about the limit point and limit circle theory. (English) Zbl 0214.34302 Ark. Mat. 8, 45-47 (1969). MSC: 34C05 PDF BibTeX XML Cite \textit{Å. Pleijel}, Ark. Mat. 8, 45--47 (1969; Zbl 0214.34302) Full Text: DOI
Schneider, Albert Weitere Untersuchungen über singuläre reelle S-hermitesche Differentialgleichungssysteme im Normalfall. (German) Zbl 0183.36202 Math. Z. 109, 153-168 (1969). PDF BibTeX XML Cite \textit{A. Schneider}, Math. Z. 109, 153--168 (1969; Zbl 0183.36202) Full Text: DOI EuDML
Butler, J. B. jun. On the inverse problem for ordinary differential operators of even order. (English) Zbl 0169.41702 J. Math. Anal. Appl. 26, 142-158 (1969). PDF BibTeX XML Cite \textit{J. B. Butler jun.}, J. Math. Anal. Appl. 26, 142--158 (1969; Zbl 0169.41702) Full Text: DOI
Schneider, Albert Untersuchungen über singuläre reelle S-hermitesche Differentialgleichungssysteme im Normalfall. (German) Zbl 0183.36201 Math. Z. 107, 271-296 (1968). PDF BibTeX XML Cite \textit{A. Schneider}, Math. Z. 107, 271--296 (1968; Zbl 0183.36201) Full Text: DOI EuDML
Butler, J. jun. On the inverse problem for differential operators of fourth order with rational reflection coefficients. (English) Zbl 0175.38501 J. Differ. Equations 4, 573-589 (1968). PDF BibTeX XML Cite \textit{J. Butler jun.}, J. Differ. Equations 4, 573--589 (1968; Zbl 0175.38501) Full Text: DOI
Saitō, Yoshimi Some remarks on the orthogonality of generalized eigenfunctions for singular second-order differential equations. (English) Zbl 0196.38103 Publ. Res. Inst. Math. Sci., Kyoto Univ., Ser. A 2, 255-267 (1966). Reviewer: H.-H. Homuth MSC: 34L10 PDF BibTeX XML Cite \textit{Y. Saitō}, Publ. Res. Inst. Math. Sci., Ser. A 2, 255--267 (1966; Zbl 0196.38103) Full Text: DOI
Everitt, W. N. Singular differential equations. I: The even order case. (English) Zbl 0145.10902 Math. Ann. 156, 9-24 (1964). PDF BibTeX XML Cite \textit{W. N. Everitt}, Math. Ann. 156, 9--24 (1964; Zbl 0145.10902) Full Text: DOI EuDML
Everitt, W. N. Fourth order singular differential equations. (English) Zbl 0111.08501 Math. Ann. 149, 320-340 (1963). PDF BibTeX XML Cite \textit{W. N. Everitt}, Math. Ann. 149, 320--340 (1963; Zbl 0111.08501) Full Text: DOI EuDML
Heinz, Erhard Halbbeschränktheit gewöhnlicher Differentialoperatoren höherer Ordnung. (German) Zbl 0082.07301 Math. Ann. 135, 1-49 (1958). PDF BibTeX XML Cite \textit{E. Heinz}, Math. Ann. 135, 1--49 (1958; Zbl 0082.07301) Full Text: DOI EuDML
Philips, R. S. Dissipative hyperbolic systems. (English) Zbl 0081.31102 Trans. Am. Math. Soc. 86, 109-173 (1957). PDF BibTeX XML Cite \textit{R. S. Philips}, Trans. Am. Math. Soc. 86, 109--173 (1957; Zbl 0081.31102) Full Text: DOI
Lions, Jacques-Louis Opérateurs de Delsarte et problèmes mixtes. (French) Zbl 0075.10804 Bull. Soc. Math. Fr. 84, 9-95 (1956). PDF BibTeX XML Cite \textit{J.-L. Lions}, Bull. Soc. Math. Fr. 84, 9--95 (1956; Zbl 0075.10804) Full Text: DOI Numdam EuDML
Krumhaar, Hans Zur Theorie der gewöhnlichen selbstadjungierten Differentialoperatoren gerader Ordnung. (German) Zbl 0067.06403 Math. Ann. 130, 109-136 (1955). PDF BibTeX XML Cite \textit{H. Krumhaar}, Math. Ann. 130, 109--136 (1955; Zbl 0067.06403) Full Text: DOI EuDML
Cordes, Heinz Otto Über die Spektralzerlegung von hypermaximalen Operatoren, die durch Separation der Variablen zerfallen. I, II. (German) Zbl 0064.11703 Math. Ann. 128, 257-289 (1954); 371-411 (1955). PDF BibTeX XML Cite \textit{H. O. Cordes}, Math. Ann. 128, 257--289 (1955; Zbl 0064.11703) Full Text: DOI EuDML