Edit Profile (opens in new tab) Hinton, Don Barker Co-Author Distance Author ID: hinton.don-barker Published as: Hinton, D. B.; Hinton, Don; Hinton, Don B.; Hinton, Don Barker; Hinton, D. more...less Documents Indexed: 136 Publications since 1966 1 Contribution as Editor Co-Authors: 41 Co-Authors with 108 Joint Publications 756 Co-Co-Authors all top 5 Co-Authors 29 single-authored 30 Shaw, J. K. 27 Brown, Richard Clark 12 Behncke, Horst 11 Lewis, Roger T. 10 Klaus, Martin 7 Ahlbrandt, Calvin D. 5 Clark, Steve 4 Clark, Stephen L. 4 Everitt, William Norrie 3 Belinsky, Boris P. 3 Schneider, Albert 3 Shaw, Ken 2 Anderson, Terry G. 2 Kauffman, Robert M. 2 Krall, Allan M. 2 McCarthy, Maeve Lewis 2 Nichols, Roger A. 1 Ashbaugh, Mark S. 1 Bailey, Paul B. 1 Bradley, John S. 1 Burenkov, Viktor Ivanovich 1 Collier Melescue, Suzanne 1 Das, Jyoti 1 Edmunds, David Eric 1 Fink, Arlington Michael 1 Heidel, J. W. 1 Khan, Mohammad M. S. 1 Kufner, Alois 1 Kwong, Man Kam 1 Littlejohn, Lance L. 1 Markett, Clemens 1 Mingarelli, Angelo Bernado 1 Rákosník, Jiří 1 Read, Thomas T. 1 Remling, Christian 1 Schaefer, Philip W. 1 Schwabik, Štefan 1 Shaw, Ming-Fu 1 Weerasena, Lakmali 1 Wong, James S. W. 1 Zettl, Anton all top 5 Serials 8 Journal of Differential Equations 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Mathematical Analysis and Applications 6 Canadian Journal of Mathematics 6 Proceedings of the London Mathematical Society. Third Series 5 Mathematische Nachrichten 5 Proceedings of the American Mathematical Society 5 The Quarterly Journal of Mathematics. Oxford Second Series 5 Differential and Integral Equations 5 SIAM Journal on Mathematical Analysis 3 Applicable Analysis 3 Rocky Mountain Journal of Mathematics 3 Quaestiones Mathematicae 2 Canadian Mathematical Bulletin 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Dynamic Systems and Applications 2 Journal of Inequalities and Applications 2 Mathematical Inequalities & Applications 2 Journal of Spectral Theory 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Časopis Pro Pěstování Matematiky 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Mathematica Bohemica 1 Journal of the Australian Mathematical Society. Series A 1 Advances in Differential Equations 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Lecture Notes in Pure and Applied Mathematics 1 Operators and Matrices all top 5 Fields 112 Ordinary differential equations (34-XX) 48 Operator theory (47-XX) 23 Real functions (26-XX) 10 Mechanics of particles and systems (70-XX) 5 Difference and functional equations (39-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 1,215 times in 750 Documents Cited by ▼ Year ▼ On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system. Zbl 0472.34014Hinton, D. B.; Shaw, J. K. 82 1981 Spectral analysis of second order difference equations. Zbl 0392.39001Hinton, Don B.; Lewis, Roger T. 74 1978 An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary condition. Zbl 0427.34023Hinton, Don B. 50 1979 Hamiltonian systems of limit point or limit circle type with both endpoints singular. Zbl 0476.34027Hinton, D. B.; Shaw, J. K. 43 1983 On the Titchmarsh-Weyl coefficients for singular \(S\)-Hermitian systems. I. Zbl 0806.34023Hinton, D. B.; Schneider, A. 43 1993 Opial’s inequality and oscillation of second order equations. Zbl 0866.34026Brown, R. C.; Hinton, D. B. 41 1997 On the spectrum of a singular Hamiltonian system. Zbl 0509.34018Hinton, D. B.; Shaw, J. K. 40 1982 Lyapunov inequalities and their applications. Zbl 1034.34002Brown, Richard C.; Hinton, Don B. 36 2000 On boundary value problems for Hamiltonian systems with two singular points. Zbl 0539.34016Hinton, D. B.; Shaw, J. K. 35 1984 Oscillation theory for generalized second-order differential equations. Zbl 0485.34021Hinton, Don B.; Lewis, Roger T. 33 1980 Discrete spectra criteria for singular differential operators with middle terms. Zbl 0298.34018Hinton, Don B.; Lewis, Roger T. 29 1975 The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory. Zbl 0459.34018Ahlbrandt, Calvin D.; Hinton, Don B. 29 1981 Parameterization of the \(M(\lambda)\) function for a Hamiltonian system of limit circle type. Zbl 0532.34011Hinton, D. B.; Shaw, J. K. 28 1983 Asymptotic behavior of solutions of \((ry^{(m)})^{(k)} \pm qy = 0\). Zbl 0175.38101Hinton, D. B. 23 1968 The spectrum of differential operators of order \(2n\) with almost constant coefficients. Zbl 0990.34070Behncke, Horst; Hinton, Don; Remling, Christian 22 2001 Singular differential operators with spectra discrete and bounded below. Zbl 0418.47021Hinton, Don B.; Lewis, Roger T. 22 1979 Disconjugate properties of a system of differential equations. Zbl 0161.27904Hinton, D. B. 21 1966 On the strong limit-n classification of linear ordinary differential expressions of order 2n. Zbl 0305.34040Everitt, W. N.; Hinton, D. B.; Wong, J. S. W. 20 1974 A Liapunov inequality for linear Hamiltonian systems. Zbl 0909.34033Clark, Steve; Hinton, Don 19 1998 Necessary and sufficient conditions for the discreteness of the spectrum of certain singular differential operators. Zbl 0462.47030Ahlbrandt, Calvin D.; Hinton, Don B.; Lewis, Roger T. 19 1981 Eigenfunctions, deficiency indices and spectra of odd-order differential operators. Zbl 1158.34050Behncke, Horst; Hinton, D. B. 19 2008 On the spectrum of a singular Hamilton system. II. Zbl 0615.34016Hinton, D. B.; Shaw, J. K. 17 1986 Absolutely continuous spectra of Dirac systems with long range, short range and oscillating potentials. Zbl 0571.34017Hinton, D. B.; Shaw, J. K. 17 1985 On the Titchmarsh-Weyl coefficients for singular S-Hermitian systems. II. Zbl 0869.34019Hinton, D. B.; Schneider, A. 17 1997 Sturm’s 1836 oscillation results evolution of the theory. Zbl 1120.34020Hinton, Don 16 2005 Deficiency indices of odd-order differential operators. Zbl 0417.47018Hinton, Don B. 14 1978 Limit point criteria for differential equations. Zbl 0229.34024Hinton, Don 14 1972 Absolutely continuous spectra of second order differential operators with short and long range potentials. Zbl 0583.34017Hinton, D. B.; Shaw, J. K. 13 1986 Discrete Lyapunov inequalities. Zbl 0940.39013Clark, Steve; Hinton, Don 12 1999 Spectral theory of Hamiltonian systems with almost constant coefficients. Zbl 1237.34141Behncke, Horst; Hinton, Don 12 2011 A Stieltjes-Volterra integral equation theory. Zbl 0142.09401Hinton, D. B. 11 1966 The asymptotic form of the Titchmarsh-Weyl coefficient for Dirac systems. Zbl 0489.34010Everitt, W. N.; Hinton, D. B.; Shaw, J. K. 10 1983 Sufficient conditions for weighted inequalities of sum form. Zbl 0587.26011Brown, R. C.; Hinton, D. B. 9 1985 Embedded halfbound states for potentials of Wigner-von Neumann type. Zbl 0689.34018Hinton, D. B.; Klaus, M.; Shaw, J. K. 9 1991 Series representation and asymptotics for Titchmarsh-Weyl m-functions. Zbl 0715.34044Hinton, D. B.; Klaus, M.; Shaw, J. K. 9 1989 Eigenfunction expansions for a singular eigenvalue problem with eigenparameter in the boundary condition. Zbl 0458.34014Hinton, Don 9 1981 On the eigenfunction expansions of singular ordinary differential equations. Zbl 0405.34025Hinton, Don B. 9 1977 Applications of a one-dimensional Sobolev inequality to eigenvalue problems. Zbl 0842.34083Brown, R. C.; Hinton, D. B.; Schwabik, Š. 9 1996 Weighted interpolation inequalities of sum and product form in \({\mathbb{R}}^ n\). Zbl 0648.26008Brown, R. C.; Hinton, D. B. 8 1988 Limit point-limit circle criteria for \((py')'+qy=\lambda ky\). Zbl 0337.34019Hinton, Don 8 1974 The existence of oscillatory solutions for a nonlinear differential equation. Zbl 0243.34062Heidel, J. W.; Hinton, Don B. 8 1972 Limit point criteria for differential equations. II. Zbl 0249.34010Hinton, Don 8 1974 A criterion for n-n oscillation in differential equations of order 2n. Zbl 0157.15001Hinton, D. B. 8 1968 Some disconjugacy criteria for differential equations with oscillatory coefficients. Zbl 1101.34018Clark, Stephen; Hinton, Don 8 2005 Two singular point linear Hamiltonian systems with an interface condition. Zbl 1198.34011Behncke, Horst; Hinton, Don 8 2010 On the number of eigenvalues in the spectral gap of a Dirac system. Zbl 0618.34024Hinton, D. B.; Mingarelli, A. B.; Read, T. T.; Shaw, J. K. 7 1986 Levinson’s theorem and Titchmarsh-Weyl m(\(\lambda\) ) theory for Dirac systems. Zbl 0652.34030Hinton, D. B.; Klaus, M.; Shaw, J. K. 7 1988 Half-bound states and Levinson’s theorem for discrete systems. Zbl 0822.47032Hinton, D. B.; Klaus, M.; Shaw, J. K. 7 1991 Differential operators with spectral parameter incompletely in the boundary conditions. Zbl 0715.34133Hinton, D. B.; Shaw, J. K. 7 1990 Weighted interpolation inequalities and embeddings in \(R^ n\). Zbl 0726.26012Brown, R. C.; Hinton, D. B. 7 1990 Eigenfunction expansions and spectral matrices of singular differential operators. Zbl 0389.34021Hinton, Don B. 7 1978 Some separation criteria and inequalities associated with linear second order differential operators. Zbl 0982.34032Brown, R. C.; Hinton, D. B.; Shaw, M. F. 7 2000 The fourth-order Bessel-type differential equation. Zbl 1053.34013Das, Jyoti; Everitt, W. N.; Hinton, D. B.; Littlejohn, L. L.; Markett, C. 7 2004 Dirac systems with discrete spectra. Zbl 0607.34020Hinton, D. B.; Shaw, J. K. 6 1987 Principal solutions of positive linear Hamiltonian systems. Zbl 0347.34008Hinton, Don 6 1976 High-energy asymptotics for the scattering matrix on the line. Zbl 0733.34083Hinton, D. B.; Klaus, M.; Shaw, J. K. 6 1989 Boundary conditions for differential operators with intermediate deficiency index. Zbl 0627.34023Hinton, Don; Krall, Allan M.; Shaw, Ken 5 1987 Asymptotic phase, asymptotic modulus, and Titchmarsh-Weyl coefficient for a Dirac system. Zbl 0738.34044Hinton, D. B.; Klaus, M.; Shaw, J. K. 5 1989 On the absolutely continuous spectrum of the perturbed Hill’s equation. Zbl 0528.34027Hinton, D. B.; Shaw, J. K. 5 1985 A weighted Hardy’s inequality and nonoscillatory differential equations. Zbl 0766.26013Brown, R. C.; Hinton, D. B. 5 1992 Strong limit-point and Dirichlet criteria for ordinary differential expressions of order 2n. Zbl 0348.34014Hinton, Don 5 1977 Two separation criteria for second order ordinary or partial differential operators. Zbl 0937.34068Brown, R. C.; Hinton, D. B. 5 1999 Spectral theory and computational methods of Sturm-Liouville problems. Proceedings of the 1996 conference, Knoxville, TN, USA, in conjunction with the 26th Barrett memorial lecture series. Zbl 0866.00046 5 1997 On the spectral representation for singular selfadjoint boundary eigenvalue problems. Zbl 0911.34018Hinton, Don; Schneider, Albert 5 1998 On the minimization of singular quadratic functionals. Zbl 0456.49019Bradley, John S.; Hinton, Don B.; Kauffman, Robert M. 5 1981 Weighted interpolation and Hardy inequalities with some spectral theoretic applications. Zbl 0858.26010Brown, R. C.; Hinton, D. B. 5 1994 Relative boundedness and compactness theory for second-order differential operators. Zbl 0891.34062Anderson, Terry G.; Hinton, Don B. 5 1997 Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions. Zbl 0955.26009Brown, Richard C.; Fink, A. M.; Hinton, Don B. 4 2000 Solutions of \((ry^{(n)})^{(n)}+qy=0\) of class \({\mathcal L}_p[0,\infty)\). Zbl 0241.34018Hinton, Don 4 1972 A class of differential operators with complex coefficients and compact resolvent. Zbl 1424.34298Behncke, Horst; Hinton, Don 4 2018 Relative form boundedness and compactness for a second-order differential operator. Zbl 1057.34104Brown, Richard C.; Hinton, Don B. 4 2004 Molchanov’s discrete spectra criterion for a weighted operator. Zbl 0446.47034Hinton, Don B. 4 1979 Titchmarsh-Weyl theory for Hamiltonian systems. Zbl 0489.34020Hinton, Don; Shaw, Ken 4 1981 Clamped end boundary conditions for fourth-order selfadjoint differential equations. Zbl 0148.06402Hinton, D. B. 4 1967 Some stability conditions for \(y''+qy = 0\). Zbl 0155.12701Hinton, D. B. 4 1968 Positive eigenvalues of second order boundary value problems and a theorem of M. G. Krein. Zbl 1006.34078Clark, Steve; Hinton, Don 4 2002 Deficiency indices and spectral theory of third order differential operators on the half line. Zbl 1093.34047Behncke, Horst; Hinton, Don 4 2005 Absolutely continuous spectra of perturbed periodic Hamiltonian systems. Zbl 0634.34010Hinton, D. B.; Shaw, J. K. 3 1987 Spectral theory of higher order differential operators by examples. Zbl 1285.34074Behncke, Horst; Hinton, Don B. 3 2013 Titchmarsh’s lambda-dependent boundary conditions for Hamiltonian systems. Zbl 0509.34019Hinton, Don; Shaw, Ken 3 1982 Oscillation theory at a finite singularity. Zbl 0362.34025Hinton, Don B.; Lewis, Roger T. 3 1978 Transformation theory of symmetric differential expressions. Zbl 1160.34076Behnke, Horst; Hinton, Don 3 2006 Relative boundedness-compactness inequalities for a second order differential operator. Zbl 1072.34093Hinton, Don B.; Melescue, Suzanne Collier 3 2001 An oscillation criterion for solutions of \((ry')' + gy^\gamma = 0\). Zbl 0188.15401Hinton, Don 3 1969 Bounds and optimization of the minimum eigenvalue for a vibrating system. Zbl 1340.34334Hinton, Don; McCarthy, Maeve 3 2013 \(\mathcal C\)-symmetric Hamiltonian systems with almost constant coefficients. Zbl 1444.34104Behncke, Horst; Hinton, Don B. 2 2019 Continuous spectra of an even order differential operator. Zbl 0285.34016Hinton, Don 2 1974 Some function space inequalities and their application to oscillation and stability problems in differential equations. Zbl 1043.26007Brown, Richard; Clark, Stephen; Hinton, Don 2 2002 Interpolation inequalities with power weights for functions of one variable. Zbl 0779.26012Brown, Richard; Hinton, Don 2 1993 Strong nonsubordinacy and absolutely continuous spectra for Sturm- Liouville equations. Zbl 0776.34019Clark, Steve; Hinton, Don 2 1993 Continuous spectra of second-order differential operators. Zbl 0201.12302Hinton, Don Barker 2 1970 Necessary and sufficient conditions for one variable weighted interpolation inequalities. Zbl 0627.26009Brown, R. C.; Hinton, D. B. 1 1987 Spectrum of a Hamiltonian system with a spectral parameter in a boundary condition. Zbl 0712.70037Hinton, D. B.; Shaw, J. K. 1 1987 Boundary conditions for differential systems in intermediate limit situations. Zbl 0558.34017Krall, Allan M.; Shaw, J. K.; Hinton, D. B. 1 1984 Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems. Zbl 0662.34054Hinton, D. B.; Shaw, J. K. 1 1987 On the Titchmarsh-Weyl function for the half-line perturbed periodic Hill’s equation. Zbl 0706.34023Hinton, D. B.; Klaus, M.; Shaw, J. K. 1 1990 Limit-point criteria for positive definite fourth-order differential operators. Zbl 0269.34015Hinton, Don B. 1 1973 Some one variable weighted norm inequalities and their applications to Sturm-Liouville and other differential operators. Zbl 1266.34038Brown, Richard C.; Hinton, Don B. 1 2009 \(\mathcal{C}\)-symmetric second order differential operators. Zbl 1486.34165Behncke, Horst; Hinton, Don 1 2020 Singular Sturm-Liouville operators with extreme properties that generate black holes. Zbl 1487.34083Belinskiy, Boris P.; Hinton, Don B.; Nichols, Roger 1 2021 Singular Sturm-Liouville operators with extreme properties that generate black holes. Zbl 1487.34083Belinskiy, Boris P.; Hinton, Don B.; Nichols, Roger 1 2021 \(\mathcal{C}\)-symmetric second order differential operators. Zbl 1486.34165Behncke, Horst; Hinton, Don 1 2020 \(\mathcal C\)-symmetric Hamiltonian systems with almost constant coefficients. Zbl 1444.34104Behncke, Horst; Hinton, Don B. 2 2019 A class of differential operators with complex coefficients and compact resolvent. Zbl 1424.34298Behncke, Horst; Hinton, Don 4 2018 Spectral theory of higher order differential operators by examples. Zbl 1285.34074Behncke, Horst; Hinton, Don B. 3 2013 Bounds and optimization of the minimum eigenvalue for a vibrating system. Zbl 1340.34334Hinton, Don; McCarthy, Maeve 3 2013 Spectral theory of Hamiltonian systems with almost constant coefficients. Zbl 1237.34141Behncke, Horst; Hinton, Don 12 2011 Two singular point linear Hamiltonian systems with an interface condition. Zbl 1198.34011Behncke, Horst; Hinton, Don 8 2010 Some one variable weighted norm inequalities and their applications to Sturm-Liouville and other differential operators. Zbl 1266.34038Brown, Richard C.; Hinton, Don B. 1 2009 Eigenfunctions, deficiency indices and spectra of odd-order differential operators. Zbl 1158.34050Behncke, Horst; Hinton, D. B. 19 2008 Transformation theory of symmetric differential expressions. Zbl 1160.34076Behnke, Horst; Hinton, Don 3 2006 Sturm’s 1836 oscillation results evolution of the theory. Zbl 1120.34020Hinton, Don 16 2005 Some disconjugacy criteria for differential equations with oscillatory coefficients. Zbl 1101.34018Clark, Stephen; Hinton, Don 8 2005 Deficiency indices and spectral theory of third order differential operators on the half line. Zbl 1093.34047Behncke, Horst; Hinton, Don 4 2005 The fourth-order Bessel-type differential equation. Zbl 1053.34013Das, Jyoti; Everitt, W. N.; Hinton, D. B.; Littlejohn, L. L.; Markett, C. 7 2004 Relative form boundedness and compactness for a second-order differential operator. Zbl 1057.34104Brown, Richard C.; Hinton, Don B. 4 2004 Positive eigenvalues of second order boundary value problems and a theorem of M. G. Krein. Zbl 1006.34078Clark, Steve; Hinton, Don 4 2002 Some function space inequalities and their application to oscillation and stability problems in differential equations. Zbl 1043.26007Brown, Richard; Clark, Stephen; Hinton, Don 2 2002 On the location of the least point of the essential spectrum. Zbl 1019.34080Hinton, Don 1 2002 Some spectral properties of the Heun differential equation. Zbl 1044.34048Bailey, P. B.; Everitt, W. N.; Hinton, D. B.; Zettl, A. 1 2002 The spectrum of differential operators of order \(2n\) with almost constant coefficients. Zbl 0990.34070Behncke, Horst; Hinton, Don; Remling, Christian 22 2001 Relative boundedness-compactness inequalities for a second order differential operator. Zbl 1072.34093Hinton, Don B.; Melescue, Suzanne Collier 3 2001 Lyapunov inequalities and their applications. Zbl 1034.34002Brown, Richard C.; Hinton, Don B. 36 2000 Some separation criteria and inequalities associated with linear second order differential operators. Zbl 0982.34032Brown, R. C.; Hinton, D. B.; Shaw, M. F. 7 2000 Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions. Zbl 0955.26009Brown, Richard C.; Fink, A. M.; Hinton, Don B. 4 2000 Discrete Lyapunov inequalities. Zbl 0940.39013Clark, Steve; Hinton, Don 12 1999 Two separation criteria for second order ordinary or partial differential operators. Zbl 0937.34068Brown, R. C.; Hinton, D. B. 5 1999 Second order Opial inequalities in \({\mathcal L}^p\) spaces and applications. Zbl 0981.26018Brown, Richard; Burenkov, Victor; Clark, Steve; Hinton, Don 1 1999 A Liapunov inequality for linear Hamiltonian systems. Zbl 0909.34033Clark, Steve; Hinton, Don 19 1998 On the spectral representation for singular selfadjoint boundary eigenvalue problems. Zbl 0911.34018Hinton, Don; Schneider, Albert 5 1998 Opial’s inequality and oscillation of second order equations. Zbl 0866.34026Brown, R. C.; Hinton, D. B. 41 1997 On the Titchmarsh-Weyl coefficients for singular S-Hermitian systems. II. Zbl 0869.34019Hinton, D. B.; Schneider, A. 17 1997 Spectral theory and computational methods of Sturm-Liouville problems. Proceedings of the 1996 conference, Knoxville, TN, USA, in conjunction with the 26th Barrett memorial lecture series. Zbl 0866.00046 5 1997 Relative boundedness and compactness theory for second-order differential operators. Zbl 0891.34062Anderson, Terry G.; Hinton, Don B. 5 1997 Perturbation theory for a one-term weighted differential operator. Zbl 0880.34057Anderson, T. G.; Brown, R. C.; Hinton, D. B. 1 1997 Sufficient conditions for three weight sum inequalities in Lebesgue spaces. Zbl 0879.26053Brown, R. C.; Hinton, D. B.; Kufner, A. 1 1997 Applications of a one-dimensional Sobolev inequality to eigenvalue problems. Zbl 0842.34083Brown, R. C.; Hinton, D. B.; Schwabik, Š. 9 1996 Weighted interpolation and Hardy inequalities with some spectral theoretic applications. Zbl 0858.26010Brown, R. C.; Hinton, D. B. 5 1994 An interpolation inequality and applications. Zbl 0882.26008Brown, R. C.; Hinton, D. B. 1 1994 On the Titchmarsh-Weyl coefficients for singular \(S\)-Hermitian systems. I. Zbl 0806.34023Hinton, D. B.; Schneider, A. 43 1993 Interpolation inequalities with power weights for functions of one variable. Zbl 0779.26012Brown, Richard; Hinton, Don 2 1993 Strong nonsubordinacy and absolutely continuous spectra for Sturm- Liouville equations. Zbl 0776.34019Clark, Steve; Hinton, Don 2 1993 Discreteness of some continuous spectrum eigenfunction expansions. Zbl 0799.47028Hinton, Don B.; Kauffman, Robert M. 1 1993 A weighted Hardy’s inequality and nonoscillatory differential equations. Zbl 0766.26013Brown, R. C.; Hinton, D. B. 5 1992 Embedded halfbound states for potentials of Wigner-von Neumann type. Zbl 0689.34018Hinton, D. B.; Klaus, M.; Shaw, J. K. 9 1991 Half-bound states and Levinson’s theorem for discrete systems. Zbl 0822.47032Hinton, D. B.; Klaus, M.; Shaw, J. K. 7 1991 Differential operators with spectral parameter incompletely in the boundary conditions. Zbl 0715.34133Hinton, D. B.; Shaw, J. K. 7 1990 Weighted interpolation inequalities and embeddings in \(R^ n\). Zbl 0726.26012Brown, R. C.; Hinton, D. B. 7 1990 On the Titchmarsh-Weyl function for the half-line perturbed periodic Hill’s equation. Zbl 0706.34023Hinton, D. B.; Klaus, M.; Shaw, J. K. 1 1990 Series representation and asymptotics for Titchmarsh-Weyl m-functions. Zbl 0715.34044Hinton, D. B.; Klaus, M.; Shaw, J. K. 9 1989 High-energy asymptotics for the scattering matrix on the line. Zbl 0733.34083Hinton, D. B.; Klaus, M.; Shaw, J. K. 6 1989 Asymptotic phase, asymptotic modulus, and Titchmarsh-Weyl coefficient for a Dirac system. Zbl 0738.34044Hinton, D. B.; Klaus, M.; Shaw, J. K. 5 1989 Weighted interpolation inequalities of sum and product form in \({\mathbb{R}}^ n\). Zbl 0648.26008Brown, R. C.; Hinton, D. B. 8 1988 Levinson’s theorem and Titchmarsh-Weyl m(\(\lambda\) ) theory for Dirac systems. Zbl 0652.34030Hinton, D. B.; Klaus, M.; Shaw, J. K. 7 1988 Dirac systems with discrete spectra. Zbl 0607.34020Hinton, D. B.; Shaw, J. K. 6 1987 Boundary conditions for differential operators with intermediate deficiency index. Zbl 0627.34023Hinton, Don; Krall, Allan M.; Shaw, Ken 5 1987 Absolutely continuous spectra of perturbed periodic Hamiltonian systems. Zbl 0634.34010Hinton, D. B.; Shaw, J. K. 3 1987 Necessary and sufficient conditions for one variable weighted interpolation inequalities. Zbl 0627.26009Brown, R. C.; Hinton, D. B. 1 1987 Spectrum of a Hamiltonian system with a spectral parameter in a boundary condition. Zbl 0712.70037Hinton, D. B.; Shaw, J. K. 1 1987 Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems. Zbl 0662.34054Hinton, D. B.; Shaw, J. K. 1 1987 On the spectrum of a singular Hamilton system. II. Zbl 0615.34016Hinton, D. B.; Shaw, J. K. 17 1986 Absolutely continuous spectra of second order differential operators with short and long range potentials. Zbl 0583.34017Hinton, D. B.; Shaw, J. K. 13 1986 On the number of eigenvalues in the spectral gap of a Dirac system. Zbl 0618.34024Hinton, D. B.; Mingarelli, A. B.; Read, T. T.; Shaw, J. K. 7 1986 Absolutely continuous spectra of Dirac systems with long range, short range and oscillating potentials. Zbl 0571.34017Hinton, D. B.; Shaw, J. K. 17 1985 Sufficient conditions for weighted inequalities of sum form. Zbl 0587.26011Brown, R. C.; Hinton, D. B. 9 1985 On the absolutely continuous spectrum of the perturbed Hill’s equation. Zbl 0528.34027Hinton, D. B.; Shaw, J. K. 5 1985 On boundary value problems for Hamiltonian systems with two singular points. Zbl 0539.34016Hinton, D. B.; Shaw, J. K. 35 1984 Boundary conditions for differential systems in intermediate limit situations. Zbl 0558.34017Krall, Allan M.; Shaw, J. K.; Hinton, D. B. 1 1984 Hamiltonian systems of limit point or limit circle type with both endpoints singular. Zbl 0476.34027Hinton, D. B.; Shaw, J. K. 43 1983 Parameterization of the \(M(\lambda)\) function for a Hamiltonian system of limit circle type. Zbl 0532.34011Hinton, D. B.; Shaw, J. K. 28 1983 The asymptotic form of the Titchmarsh-Weyl coefficient for Dirac systems. Zbl 0489.34010Everitt, W. N.; Hinton, D. B.; Shaw, J. K. 10 1983 On the spectrum of a singular Hamiltonian system. Zbl 0509.34018Hinton, D. B.; Shaw, J. K. 40 1982 Titchmarsh’s lambda-dependent boundary conditions for Hamiltonian systems. Zbl 0509.34019Hinton, Don; Shaw, Ken 3 1982 On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system. Zbl 0472.34014Hinton, D. B.; Shaw, J. K. 82 1981 The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory. Zbl 0459.34018Ahlbrandt, Calvin D.; Hinton, Don B. 29 1981 Necessary and sufficient conditions for the discreteness of the spectrum of certain singular differential operators. Zbl 0462.47030Ahlbrandt, Calvin D.; Hinton, Don B.; Lewis, Roger T. 19 1981 Eigenfunction expansions for a singular eigenvalue problem with eigenparameter in the boundary condition. Zbl 0458.34014Hinton, Don 9 1981 On the minimization of singular quadratic functionals. Zbl 0456.49019Bradley, John S.; Hinton, Don B.; Kauffman, Robert M. 5 1981 Titchmarsh-Weyl theory for Hamiltonian systems. Zbl 0489.34020Hinton, Don; Shaw, Ken 4 1981 Oscillation theory for generalized second-order differential equations. Zbl 0485.34021Hinton, Don B.; Lewis, Roger T. 33 1980 Necessary and sufficient conditions for the discreteness of the spectrum of certain singular differential operators. Zbl 0456.47036Ahlbrandt, Calvin D.; Hinton, Don B.; Lewis, Roger T. 1 1980 An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary condition. Zbl 0427.34023Hinton, Don B. 50 1979 Singular differential operators with spectra discrete and bounded below. Zbl 0418.47021Hinton, Don B.; Lewis, Roger T. 22 1979 Molchanov’s discrete spectra criterion for a weighted operator. Zbl 0446.47034Hinton, Don B. 4 1979 Spectral analysis of second order difference equations. Zbl 0392.39001Hinton, Don B.; Lewis, Roger T. 74 1978 Deficiency indices of odd-order differential operators. Zbl 0417.47018Hinton, Don B. 14 1978 Eigenfunction expansions and spectral matrices of singular differential operators. Zbl 0389.34021Hinton, Don B. 7 1978 Oscillation theory at a finite singularity. Zbl 0362.34025Hinton, Don B.; Lewis, Roger T. 3 1978 On the eigenfunction expansions of singular ordinary differential equations. Zbl 0405.34025Hinton, Don B. 9 1977 Strong limit-point and Dirichlet criteria for ordinary differential expressions of order 2n. Zbl 0348.34014Hinton, Don 5 1977 Principal solutions of positive linear Hamiltonian systems. Zbl 0347.34008Hinton, Don 6 1976 Discrete spectra criteria for singular differential operators with middle terms. Zbl 0298.34018Hinton, Don B.; Lewis, Roger T. 29 1975 On the strong limit-n classification of linear ordinary differential expressions of order 2n. Zbl 0305.34040Everitt, W. N.; Hinton, D. B.; Wong, J. S. W. 20 1974 Limit point-limit circle criteria for \((py')'+qy=\lambda ky\). Zbl 0337.34019Hinton, Don 8 1974 Limit point criteria for differential equations. II. Zbl 0249.34010Hinton, Don 8 1974 Continuous spectra of an even order differential operator. Zbl 0285.34016Hinton, Don 2 1974 Limit-point criteria for positive definite fourth-order differential operators. Zbl 0269.34015Hinton, Don B. 1 1973 Limit point criteria for differential equations. Zbl 0229.34024Hinton, Don 14 1972 The existence of oscillatory solutions for a nonlinear differential equation. Zbl 0243.34062Heidel, J. W.; Hinton, Don B. 8 1972 Solutions of \((ry^{(n)})^{(n)}+qy=0\) of class \({\mathcal L}_p[0,\infty)\). Zbl 0241.34018Hinton, Don 4 1972 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 619 Authors 37 Hinton, Don Barker 24 Shi, Yuming 23 Ugurlu, Ekin 19 Behncke, Horst 17 Qi, Jiangang 17 Sun, Huaqing 16 Šimon Hilscher, Roman 14 Došlý, Ondřej 13 Gesztesy, Fritz 13 Meng, Fanwei 12 Agarwal, Ravi P. 11 Allahverdiev, Bilender Paşaoğlu 11 Samet, Bessem 11 Zemánek, Petr 10 Chen, Shaozhu 9 Evans, William Desmond 9 Everitt, William Norrie 9 Nyamwala, Fredrick Oluoch 9 Shaw, J. K. 9 Sun, Jiong 9 Zettl, Anton 8 Clark, Stephen L. 8 Jleli, Mohamed Boussairi 8 Kwong, Man Kam 8 Mogilevskii, Vadim 8 Özbekler, Abdullah 8 Tuna, Hüseyin 8 Zheng, Zhaowen 7 Ahlbrandt, Calvin D. 7 Lewis, Roger T. 7 Markett, Clemens 7 Ren, Guojing 7 Sun, Yuangong 7 Wang, Youyu 6 Erbe, Lynn Harry 6 Klaus, Martin 6 Krall, Allan M. 6 Littlejohn, Lance L. 6 Mingarelli, Angelo Bernado 6 Mukhtarov, Oktay Sh. 6 Pedersen, Steen 6 Teschl, Gerald 6 Wong, James S. W. 5 Aliyev, Ziyatkhan S. 5 Binding, Paul Anthony 5 Brown, Richard Clark 5 Browne, Patrick J. 5 Dhar, Sougata 5 Hooker, John W. 5 Kaymakçalan, Billur 5 Kirane, Mokhtar 5 Kong, Qingkai 5 Li, Kun 5 Peterson, Allan C. 5 Remling, Christian 5 Saker, Samir H. 5 Schulz-Baldes, Hermann 5 Simon, Barry 5 Sun, Shurong 5 Tharwat, Mohammed M. 5 Weikard, Rudi 5 Xie, Bing 5 Zhang, Maozhu 5 Zhang, Meirong 5 Zhang, Qiming 4 Atia, Hany A. 4 Bairamov, Elgiz 4 Bohner, Martin J. 4 Brown, B. Malcolm 4 Clark, Steve 4 de Snoo, Hendrik S. V. 4 Fiedler, Frank 4 Frentzen, Hilbert 4 Hao, Xiaoling 4 Jørgensen, Palle E. T. 4 Kaper, Hans G. 4 Kauffman, Robert M. 4 Migda, Janusz 4 Patula, William T. 4 Read, Thomas T. 4 Rybkin, Alexei 4 Šepitka, Peter 4 Simonov, Sergey A. 4 Tang, Xianhua 4 Tian, Feng 4 Watson, Bruce Alastair 3 Al-Hammadi, Abdulaziz Sultan Ali 3 Almenar, Pedro 3 Atkinson, Frederick Valentine 3 Aydemir, Kadriye 3 Belinsky, Boris P. 3 Çakmak, Devrim 3 Chlebicka, Iwona 3 Chua, Seng-Kee 3 Clemence, Dominic P. 3 Eastham, Michael S. P. 3 Eckhardt, Jonathan 3 Ferreira, Rui A. C. 3 Ghatasheh, Ahmed 3 Harris, Bernard J. ...and 519 more Authors all top 5 Cited in 177 Serials 82 Journal of Mathematical Analysis and Applications 54 Journal of Differential Equations 49 Proceedings of the Royal Society of Edinburgh. Section A. 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Fiziko-Matematicheskie Nauki 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Arkiv för Matematik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 The Arabian Journal for Science and Engineering 1 Archiv der Mathematik 1 Automatica 1 Calcolo 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum ...and 77 more Serials all top 5 Cited in 40 Fields 528 Ordinary differential equations (34-XX) 204 Operator theory (47-XX) 114 Difference and functional equations (39-XX) 78 Partial differential equations (35-XX) 65 Real functions (26-XX) 54 Dynamical systems and ergodic theory (37-XX) 40 Quantum theory (81-XX) 24 Numerical analysis (65-XX) 22 Special functions (33-XX) 22 Functional analysis (46-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 11 Integral equations (45-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of deformable solids (74-XX) 8 Systems theory; control (93-XX) 7 Information and communication theory, circuits (94-XX) 6 Functions of a complex variable (30-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year