Harris, B. J. The form of the spectral function associated with Sturm-Liouville problems for small values of the spectral parameter. (English) Zbl 1290.34037 Electron. J. Differ. Equ. 2013, Paper No. 17, 5 p. (2013). MSC: 34B24 34E05 34L20 34B05 34L05 PDFBibTeX XMLCite \textit{B. J. Harris}, Electron. J. Differ. Equ. 2013, Paper No. 17, 5 p. (2013; Zbl 1290.34037) Full Text: EMIS
Gilbert, D. J.; Harris, B. J.; Riehl, S. M. Higher derivatives of spectral functions associated with one-dimensional Schrödinger operators. II. (English) Zbl 1280.34083 Adv. Differ. Equ. 18, No. 7-8, 609-632 (2013). Reviewer: Shlomo Carmi (Baltimore) MSC: 34L05 34B20 34B24 47B25 47E05 34L40 PDFBibTeX XMLCite \textit{D. J. Gilbert} et al., Adv. Differ. Equ. 18, No. 7--8, 609--632 (2013; Zbl 1280.34083) Full Text: Euclid
Harris, Bernard J.; Kallenbach, Jeffrey C. Spectral concentration in Sturm-Liouville equations with large negative potential. (English) Zbl 1203.34141 Electron. J. Differ. Equ. 2010, Paper No. 133, 10 p. (2010). MSC: 34L05 34L20 34B24 PDFBibTeX XMLCite \textit{B. J. Harris} and \textit{J. C. Kallenbach}, Electron. J. Differ. Equ. 2010, Paper No. 133, 10 p. (2010; Zbl 1203.34141) Full Text: EuDML EMIS
Gilbert, D. J.; Harris, B. J.; Riehl, S. M. Higher derivatives of spectral functions associated with one-dimensional Schrödinger operators. (English) Zbl 1169.34021 Janas, Jan (ed.) et al., Methods of spectral analysis in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP), Lund, Sweden, June 15–22, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8754-9/hbk). Operator Theory: Advances and Applications 186, 217-228 (2009). Reviewer: Jussi Behrndt (Berlin) MSC: 34B24 34B20 47B25 47E05 34L40 PDFBibTeX XMLCite \textit{D. J. Gilbert} et al., Oper. Theory: Adv. Appl. 186, 217--228 (2009; Zbl 1169.34021)
Gilbert, Daphne J.; Harris, Bernard J.; Riehl, Suzanne M. Bounds for the points of spectral concentration of one-dimensional Schrödinger operators. (English) Zbl 1075.34085 Janas, Jan (ed.) et al., Spectral methods for operators of mathematical physics. Proceedings of the international conference on operator theory and its applications in mathematical physics, OTAMP, Bedlewo, Poland, 2002. Basel: Birkhäuser (ISBN 3-7643-7133-1/hbk). Operator Theory: Advances and Applications 154, 139-149 (2004). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 34L05 47E05 34L40 PDFBibTeX XMLCite \textit{D. J. Gilbert} et al., Oper. Theory: Adv. Appl. 154, 139--149 (2004; Zbl 1075.34085)
Gilbert, D. J.; Harris, B. J.; Riehl, S. M. The spectral function for Sturm-Liouville problems where the potential is of Wigner-von Neumann type or slowly decaying. (English) Zbl 1072.34092 J. Differ. Equations 201, No. 1, 139-159 (2004). Reviewer: Johannes F. Brasche (Clausthal) MSC: 34L05 34L40 34B24 PDFBibTeX XMLCite \textit{D. J. Gilbert} et al., J. Differ. Equations 201, No. 1, 139--159 (2004; Zbl 1072.34092) Full Text: DOI
Gilbert, D. J.; Harris, B. J. On the recovery of a differential equation from its spectral functions. (English) Zbl 0997.34074 J. Math. Anal. Appl. 262, No. 1, 355-364 (2001). Reviewer: N.C.Apreutesei (Iasi) MSC: 34K29 34L05 PDFBibTeX XMLCite \textit{D. J. Gilbert} and \textit{B. J. Harris}, J. Math. Anal. Appl. 262, No. 1, 355--364 (2001; Zbl 0997.34074) Full Text: DOI
Gilbert, D. J.; Harris, B. J. Bounds for the points of spectral concentration of Sturm-Liouville problems. (English) Zbl 1022.34077 Mathematika 47, No. 1-2, 327-337 (2000). Reviewer: Ingrid Beltita (Bucureşti) MSC: 34L40 34B24 34L05 47A10 PDFBibTeX XMLCite \textit{D. J. Gilbert} and \textit{B. J. Harris}, Mathematika 47, No. 1--2, 327--337 (2000; Zbl 1022.34077) Full Text: DOI
Coskun, Haskiz; Harris, B. J. Estimates for the periodic and semi-periodic eigenvalues of Hill’s equation. (English) Zbl 0977.34077 Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 5, 991-998 (2000). Reviewer: Miloslav Znojil (Řež) MSC: 34L40 34B30 34L20 34C25 34B24 PDFBibTeX XMLCite \textit{H. Coskun} and \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 5, 991--998 (2000; Zbl 0977.34077) Full Text: DOI
Gilbert, D. J.; Harris, B. J. Connection formulae for spectral functions associated with singular Sturm-Liouville equations. (English) Zbl 0945.34014 Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 1, 25-34 (2000). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34B20 34B24 PDFBibTeX XMLCite \textit{D. J. Gilbert} and \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 1, 25--34 (2000; Zbl 0945.34014) Full Text: DOI
Harris, B. J.; Marzano, F. Eigenvalue approximations for linear periodic differential equations with a singularity. (English) Zbl 0952.34066 Electron. J. Qual. Theory Differ. Equ. 1999, Paper No. 7, 18 p. (1999). MSC: 34L15 34L16 34A30 PDFBibTeX XMLCite \textit{B. J. Harris} and \textit{F. Marzano}, Electron. J. Qual. Theory Differ. Equ. 1999, Paper No. 7, 18 p. (1999; Zbl 0952.34066) Full Text: DOI EuDML EMIS
Harris, B. J.; Talarico, S. T. On the eigenvalues of second-order linear differential equations with fractional transition points. (English) Zbl 0976.34022 Math. Proc. R. Ir. Acad. 99A, No. 1, 29-38 (1999). Reviewer: Hongyou Wu (DeKalb) MSC: 34B24 34B09 34L20 PDFBibTeX XMLCite \textit{B. J. Harris} and \textit{S. T. Talarico}, Math. Proc. R. Ir. Acad. 99A, No. 1, 29--38 (1999; Zbl 0976.34022)
Harris, B. J. The form of the spectral functions associated with Sturm-Liouville equations with large negative potential. (English) Zbl 0912.34024 J. Math. Anal. Appl. 222, No. 2, 569-584 (1998). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34B24 34A34 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Math. Anal. Appl. 222, No. 2, 569--584 (1998; Zbl 0912.34024) Full Text: DOI
Harris, B. J. The form of the spectral functions associated with Sturm-Liouville problems with continuous spectrum. (English) Zbl 0884.34037 Mathematika 44, No. 1, 149-161 (1997). Reviewer: N.Vulchanov (Sofia) MSC: 34B24 PDFBibTeX XMLCite \textit{B. J. Harris}, Mathematika 44, No. 1, 149--161 (1997; Zbl 0884.34037) Full Text: DOI
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl \(m\)-function associated with a non-definite, linear, second order differential equation. (English) Zbl 0858.34021 Mathematika 43, No. 1, 209-222 (1996). Reviewer: Ch.Tretter (Regensburg) MSC: 34B20 PDFBibTeX XMLCite \textit{B. J. Harris}, Mathematika 43, No. 1, 209--222 (1996; Zbl 0858.34021) Full Text: DOI
Harris, B. J.; Kong, Q. On the oscillation of differential equations with an oscillatory coefficient. (English) Zbl 0829.34025 Trans. Am. Math. Soc. 347, No. 5, 1831-1839 (1995). Reviewer: O.Došlý (Brno) MSC: 34C10 PDFBibTeX XMLCite \textit{B. J. Harris} and \textit{Q. Kong}, Trans. Am. Math. Soc. 347, No. 5, 1831--1839 (1995; Zbl 0829.34025) Full Text: DOI
Harris, B. J.; Race, D. Asymptotics of eigenvalues for Sturm-Liouville problems with an interior singularity. (English) Zbl 0818.34046 J. Differ. Equations 116, No. 1, 88-118 (1995). Reviewer: S.L.Edelstein (Rostov-na-Donu) MSC: 34L20 34B24 34C10 34C20 PDFBibTeX XMLCite \textit{B. J. Harris} and \textit{D. Race}, J. Differ. Equations 116, No. 1, 88--118 (1995; Zbl 0818.34046) Full Text: DOI
Harris, B. J. Asymptotics of eigenvalues for regular Sturm-Liouville problems. (English) Zbl 0804.34029 J. Math. Anal. Appl. 183, No. 1, 25-36 (1994). Reviewer: P.Das (Santiniketan) MSC: 34B24 34L20 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Math. Anal. Appl. 183, No. 1, 25--36 (1994; Zbl 0804.34029) Full Text: DOI
Harris, B. J. A series representation for the Titchmarsh-Weyl \(m\)-function. (English) Zbl 0776.34005 J. Math. Anal. Appl. 171, No. 1, 294-299 (1992). Reviewer: S.K.Chatterjea (Calcutta) MSC: 34A25 33E30 34B05 34B20 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Math. Anal. Appl. 171, No. 1, 294--299 (1992; Zbl 0776.34005) Full Text: DOI
Harris, B. J. A note on the asymptotic series associated with a certain Titchmarsh-Weyl \(m\)-function. (English) Zbl 0749.34017 Result. Math. 20, No. 1-2, 499-506 (1991). Reviewer: P.Jonas (Berlin) MSC: 34B20 34A30 34E05 PDFBibTeX XMLCite \textit{B. J. Harris}, Result. Math. 20, No. 1--2, 499--506 (1991; Zbl 0749.34017) Full Text: DOI
Harris, B. J. On an oscillation criterion of Cohn. (English) Zbl 0755.34027 Q. J. Math., Oxf. II. Ser. 42, No. 167, 309-313 (1991). Reviewer: J.Vosmanský (Brno) MSC: 34C10 34A30 PDFBibTeX XMLCite \textit{B. J. Harris}, Q. J. Math., Oxf. II. Ser. 42, No. 167, 309--313 (1991; Zbl 0755.34027) Full Text: DOI
Harris, B. J. A note on the order of magnitude of certain Titchmarsh-Weyl m-functions. (English) Zbl 0711.34031 J. Math. Anal. Appl. 149, No. 1, 137-150 (1990). Reviewer: P.Talpalaru MSC: 34B20 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Math. Anal. Appl. 149, No. 1, 137--150 (1990; Zbl 0711.34031) Full Text: DOI
Harris, B. J. On an inequality of Lyapunov for disfocality. (English) Zbl 0702.34031 J. Math. Anal. Appl. 146, No. 2, 495-500 (1990). Reviewer: V.Lakshmikantham MSC: 34C10 34B05 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Math. Anal. Appl. 146, No. 2, 495--500 (1990; Zbl 0702.34031) Full Text: DOI
Harris, B. J. An inverse problem involving the Titchmarsh-Weyl m-function. (English) Zbl 0672.34007 Proc. R. Soc. Edinb., Sect. A 110, No. 3-4, 305-309 (1988). Reviewer: G.Caristi MSC: 34A30 34B20 34A55 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 110, No. 3--4, 305--309 (1988; Zbl 0672.34007) Full Text: DOI
Harris, B. J. A note on a paper of Atkinson concerning the asymptotics of an eigenvalue problem with interior singularity. (English) Zbl 0655.34019 Proc. R. Soc. Edinb., Sect. A 110, No. 1-2, 63-71 (1988). Reviewer: J.H.Tian MSC: 34L99 34E05 34A30 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 110, No. 1--2, 63--71 (1988; Zbl 0655.34019) Full Text: DOI
Harris, B. J. On the asymptotic properties of linear differential equations. (English) Zbl 0655.34039 Mathematika 34, No. 2, 187-198 (1987). Reviewer: J.H.Tian MSC: 34D05 34C10 34E05 PDFBibTeX XMLCite \textit{B. J. Harris}, Mathematika 34, No. 2, 187--198 (1987; Zbl 0655.34039) Full Text: DOI
Harris, B. J. An exact method for the calculation of certain Titchmarsh-Weyl m- functions. (English) Zbl 0643.34032 Proc. R. Soc. Edinb., Sect. A 106, 137-142 (1987). Reviewer: N.L.Maria MSC: 34C05 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 106, 137--142 (1987; Zbl 0643.34032) Full Text: DOI
Harris, B. J. The form of the spectral functions associated with a class of Sturm- Liouville equations with integrable coefficient. (English) Zbl 0636.34020 Proc. R. Soc. Edinb., Sect. A 105, 215-227 (1987). Reviewer: A.Andrew MSC: 34L99 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 105, 215--227 (1987; Zbl 0636.34020) Full Text: DOI
Harris, B. J. A property of the asymptotic series for a class of Titchmarsh-Weyl m- functions. (English) Zbl 0615.34029 Proc. R. Soc. Edinb., Sect. A 102, 253-257 (1986). MSC: 34C05 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 102, 253--257 (1986; Zbl 0615.34029) Full Text: DOI
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl m-function associated with a second order differential equation with locally integrable coefficient. (English) Zbl 0615.34028 Proc. R. Soc. Edinb., Sect. A 102, 243-251 (1986). MSC: 34C05 41A60 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 102, 243--251 (1986; Zbl 0615.34028) Full Text: DOI
Byers, Ralph; Harris, B. J.; Man Kam Kwong Weighted means and oscillation conditions for second order matrix differential equations. (English) Zbl 0609.34042 J. Differ. Equations 61, 166-177 (1986). Reviewer: N.L.Maria MSC: 34C10 PDFBibTeX XMLCite \textit{R. Byers} et al., J. Differ. Equations 61, 166--177 (1986; Zbl 0609.34042) Full Text: DOI
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl m-function for second-order linear differential equations with analytic coefficients. (English) Zbl 0609.34023 J. Differ. Equations 65, 219-234 (1986). Reviewer: J.Kalas MSC: 34B20 34C05 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Differ. Equations 65, 219--234 (1986; Zbl 0609.34023) Full Text: DOI
Harris, B. J. The asymptotic form of the spectral functions associated with a class of Sturm-Liouville equations. (English) Zbl 0577.34015 Proc. R. Soc. Edinb., Sect. A 100, 343-360 (1985). MSC: 34L99 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 100, 343--360 (1985; Zbl 0577.34015) Full Text: DOI
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl m-function associated with a Dirac system. (English) Zbl 0575.34015 J. Lond. Math. Soc., II. Ser. 31, 321-330 (1985). Reviewer: M.Shahin MSC: 34B20 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Lond. Math. Soc., II. Ser. 31, 321--330 (1985; Zbl 0575.34015) Full Text: DOI
Harris, B. J. On the oscillation of solutions of linear differential equations. (English) Zbl 0574.34015 Mathematika 31, 214-226 (1984). Reviewer: P.Marusiak MSC: 34C10 PDFBibTeX XMLCite \textit{B. J. Harris}, Mathematika 31, 214--226 (1984; Zbl 0574.34015) Full Text: DOI
Harris, B. J. The asymptotic form of the Titchmarsh-Weyl m-function. (English) Zbl 0562.34012 J. Lond. Math. Soc., II. Ser. 30, 110-118 (1984). Reviewer: G.Karakostas MSC: 34B20 34E20 34C05 34A99 34L99 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Lond. Math. Soc., II. Ser. 30, 110--118 (1984; Zbl 0562.34012) Full Text: DOI
Harris, B. J. Limit-circle criteria for second-order differential expressions. (English) Zbl 0558.34030 Q. J. Math., Oxf. II. Ser. 35, 415-427 (1984). Reviewer: P.Smith MSC: 34C05 34A30 PDFBibTeX XMLCite \textit{B. J. Harris}, Q. J. Math., Oxf. II. Ser. 35, 415--427 (1984; Zbl 0558.34030) Full Text: DOI
Harris, B. J. Lower bounds for the spectrum of a second order linear differential equation with a coefficient whose negative part is p-integrable. (English) Zbl 0548.34005 Proc. R. Soc. Edinb., Sect. A 97, 105-107 (1984). Reviewer: J.E.Rubio MSC: 34A30 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 97, 105--107 (1984; Zbl 0548.34005) Full Text: DOI
Harris, B. J. Bounds for the eigenvalues of separated Dirac operators. (English) Zbl 0563.34025 Proc. R. Soc. Edinb., Sect. A 95, 341-366 (1983). Reviewer: S.L.Kalla MSC: 34L99 34C11 47E05 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 95, 341--366 (1983; Zbl 0563.34025) Full Text: DOI
Harris, B. J. On the Titchmarsh-Weyl m-function. (English) Zbl 0553.34037 Proc. R. Soc. Edinb., Sect. A 95, 223-237 (1983). Reviewer: P.A.Bois MSC: 34E20 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 95, 223--237 (1983; Zbl 0553.34037) Full Text: DOI
Harris, B. J. Criteria for Sturm-Liouville equations to have continuous spectra. (English) Zbl 0531.34015 J. Math. Anal. Appl. 93, 235-249 (1983). Reviewer: A.L.Andrew MSC: 34L99 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Math. Anal. Appl. 93, 235--249 (1983; Zbl 0531.34015) Full Text: DOI
Harris, B. J. On the zeros of solutions of differential equations. (English) Zbl 0527.34031 J. Lond. Math. Soc., II. Ser. 27, 447-464 (1983). MSC: 34C10 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Lond. Math. Soc., II. Ser. 27, 447--464 (1983; Zbl 0527.34031) Full Text: DOI
Harris, B. J. Bounds for the point spectra of Sturm-Liouville equations. (English) Zbl 0523.34019 J. Lond. Math. Soc., II. Ser. 25, 145-161 (1982). MSC: 34L99 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Lond. Math. Soc., II. Ser. 25, 145--161 (1982; Zbl 0523.34019) Full Text: DOI
Evans, W. D.; Harris, B. J. Bounds for the point spectra of separated Dirac operators. (English) Zbl 0447.34022 Proc. R. Soc. Edinb., Sect. A 88, 1-15 (1981). MSC: 34L99 47E05 PDFBibTeX XMLCite \textit{W. D. Evans} and \textit{B. J. Harris}, Proc. R. Soc. Edinb., Sect. A, Math. 88, 1--15 (1981; Zbl 0447.34022) Full Text: DOI
Harris, B. J. On the spectra and stability of periodic differential equations. (English) Zbl 0479.34008 Proc. Lond. Math. Soc., III. Ser. 41, 161-192 (1980). MSC: 34L99 34D20 PDFBibTeX XMLCite \textit{B. J. Harris}, Proc. Lond. Math. Soc. (3) 41, 161--192 (1980; Zbl 0479.34008) Full Text: DOI
Harris, B. J. A systematic method of estimating gaps in the essential spectrum of self- adjoint operators. (English) Zbl 0408.47036 J. Lond. Math. Soc., II. Ser. 18, 115-132 (1978). MSC: 47E05 47A10 47B25 34L99 PDFBibTeX XMLCite \textit{B. J. Harris}, J. Lond. Math. Soc., II. Ser. 18, 115--132 (1978; Zbl 0408.47036) Full Text: DOI