Edit Profile (opens in new tab) Levinson, Norman Co-Author Distance Author ID: levinson.norman Published as: Levinson, Norman; Levinson, N. External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 147 Publications since 1934, including 5 Books 3 Further Contributions Co-Authors: 16 Co-Authors with 22 Joint Publications 238 Co-Co-Authors all top 5 Co-Authors 124 single-authored 5 Coddington, Earl A. 3 Hardy, Godfrey Harold 3 Redheffer, Raymond M. 2 Kac, Mark 2 McKean, Henry P. jun. 1 Abbott, James C. 1 Bliss, Gilbert Ames 1 Boas, Mary L. 1 Boas, Ralph Philip jun. 1 Bogert, B. P. 1 Brelot, Marcel 1 Browder, Felix Earl 1 Davis, Martin David 1 Davis, Philip J. 1 Doob, Joseph Leonard 1 Duff, George Francis Denton 1 Farnell, A. B. 1 Flatto, Leopold 1 Gerstenhaber, Murray 1 Hale-La Salle 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Hurewicz, Witold 1 Jackson, Dunham 1 Kahane, Jean-Pierre 1 Kemp, R. R. D. 1 Lanczos, Cornelius 1 Langenhop, Carl Eric 1 Lax, Peter David 1 Lefschetz, Solomon 1 Levin, Jacob J. 1 Mac Lane, Leslie Saunders 1 Mandelbrojt, Szolem 1 Masani, Pesi Rustom 1 McShane, Edward James 1 Montgomery, Hugh Lowell 1 Nohel, John A. 1 Olds, C. D. 1 Root, William L. 1 Rosenblith, W. 1 Sattinger, David H. 1 Sherman, Thomas Oakley 1 Smith, Oliver K. 1 Spanier, Edwin Henry 1 Trèves, François 1 Whyburn, Gordon Thomas 1 Wiesner, Jan 1 Zalcman, Lawrence Allen all top 5 Serials 25 Duke Mathematical Journal 14 Proceedings of the National Academy of Sciences of the United States of America 13 Journal of Mathematical Analysis and Applications 13 Journal of Mathematics and Physics 11 Bulletin of the American Mathematical Society 9 Annals of Mathematics. Second Series 6 Proceedings of the American Mathematical Society 4 Proceedings of the London Mathematical Society. Second Series 3 American Mathematical Monthly 3 Acta Mathematica 3 American Journal of Mathematics 3 Illinois Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Advances in Mathematics 2 Quarterly of Applied Mathematics 2 Proceedings of the Cambridge Philosophical Society 2 Journal of the London Mathematical Society 2 Matematisk Tidsskrift, B 2 Colloquium Publications. American Mathematical Society 2 Journal of Rational Mechanics and Analysis 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Differential Equations 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Number Theory 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Combinatorial Theory 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics 1 Physical Review, II. Series 1 Časopis Pro Pěstování Matematiky a Fysiky all top 5 Fields 21 Number theory (11-XX) 4 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 4,874 times in 4,649 Documents Cited by ▼ Year ▼ Theory of ordinary differential equations. Zbl 0064.33002 Coddington, Earl A.; Levinson, Norman 2,315 1955 On the nature of the spectrum of singular second order linear differential equations. Zbl 0042.32602 Coddington, E. A.; Levinson, N. 780 1951 Gap and density theorems. JFM 66.0332.01 Levinson, N. 166 1940 The asymptotic nature of solutions of linear systems of differential equations. Zbl 0040.19402 Levinson, Norman 107 1948 Gap and density theorems. Zbl 0145.08003 Levinson, Norman 102 1940 A general equation for relaxation oscillations. Zbl 0061.18908 Levinson, Norman; Smith, Oliver K. 88 1942 More than one third of zeros of Riemann’s zeta-function are on \(\sigma=1/2\). Zbl 0281.10017 Levinson, Norman 80 1974 The inverse Sturm-Liouville problem. Zbl 0041.42310 Levinson, Norman 63 1949 The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\). Zbl 0036.06801 Levinson, Norman 56 1950 Linear programming in complex space. Zbl 0136.13802 Levinson, N. 54 1966 Transformation theory of non-linear differential equations of the second order. Zbl 0061.18910 Levinson, Norman 53 1944 A class of continuous linear programming problems. Zbl 0141.35601 Levinson, N. 51 1966 Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025 Levinson, Norman; Montgomery, Hugh L. 50 1974 A second order differential equation with singular solutions. Zbl 0041.42311 Levinson, Norman 49 1949 Periodic solutions of singularly perturbed systems. Zbl 0066.07302 Flatto, L.; Levinson, N. 47 1955 Generalization of an inequality of Ky Fan. Zbl 0128.05803 Levinson, N. 46 1964 A nonlinear Volterra equation arising in the theory of superfluidity. Zbl 0094.08501 Levinson, N. 43 1960 Generalizations of an inequality of Hardy. Zbl 0126.28101 Levinson, N. 42 1964 On the existence of periodic solutions for second order differential equations with a forcing term. Zbl 0061.18909 Levinson, Norman 34 1943 Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation. Zbl 0055.08204 Levin, J. J.; Levinson, Norman 33 1954 The asymptotic behaviour of a system of linear differential equations. Zbl 0061.19706 Levinson, Norman 33 1946 Weighted trigonometrical approximation on \(R^ 1\) with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901 Levinson, N.; McKean, H. jun. 32 1964 Complex variables. Zbl 0201.40202 Levinson, N.; Redheffer, R. M. 32 1970 The inverse Sturm-Liouville problem. Zbl 0045.36402 Levinson, Norman 27 1949 On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase. Zbl 0032.20702 Levinson, N. 26 1949 Almost all roots of \(\zeta(s)=a\) are arbitrarily close to \(\sigma=1/2\). Zbl 0301.10033 Levinson, Norman 26 1975 A boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0046.09503 Coddington, Earl A.; Levinson, Norman 23 1952 Small periodic perturbations of an autonomous system with a stable orbit. Zbl 0038.24903 Levinson, Norman 22 1950 A second order differential equation with singular solutions. Zbl 0045.36501 Levinson, Norman 20 1949 Criteria for the limit-point case for second order linear differential operators. Zbl 0033.18102 Levinson, Norman 18 1949 A simplified proof of the expansion theorem for singular second order linear differential equations. Zbl 0044.31302 Levinson, Norman 18 1951 Positive eigenfunctions for \(\Delta u+\lambda f(u) = 0\). Zbl 0108.28902 Levinson, N. 16 1962 On a non-linear differential equation of the second order. Zbl 0061.18912 Levinson, Norman 15 1943 On an inequality of Opial and Beesack. Zbl 0134.27902 Levinson, N. 15 1964 Perturbations of discontinuous solutions of non-linear systems of differential equations. Zbl 0039.31404 Levinson, Norman 14 1950 Certain explicit relationships between phase shift and scattering potential. Zbl 0050.22704 Levinson, Norman 14 1953 A boundary value problem for a singulary perturbed differential equation. Zbl 0066.06503 Haber, S.; Levinson, N. 13 1955 Minimax, Liapunov and ’bang-bang’. Zbl 0201.48002 Levinson, N. 12 1966 On a class of non-vanishing functions. JFM 62.0278.02 Levinson, N. 11 1936 The growth of solutions of a differential equation. Zbl 0061.18605 Boas, Mary L.; Boas, R. P. jun.; Levinson, Norman 11 1942 Dirichlet problem for \(\Delta u = f(P,u)\). Zbl 0124.30901 Levinson, N. 11 1963 Limiting theorems for age-dependent branching processes. Zbl 0109.36101 Levinson, N. 10 1960 Simplified treatment of integrals of Cauchy type, the Hilbert problem and singular integral equations. Appendix: Poincaré-Bertrand formula. Zbl 0158.08001 Levinson, N. 10 1965 A canonical form for an analytic function of several variables at a critical point. Zbl 0192.18201 Levinson, N. 9 1960 \(\Omega\)-theorems for the Riemann zeta-function. Zbl 0213.06402 Levinson, Norman 9 1972 The Gontcharoff polynomials. Zbl 0060.22403 Levinson, Norman 8 1944 Transformation of an analytic function of several variables to a canonical form. Zbl 0100.29002 Levinson, N. 8 1961 A heuristic exposition of Wiener’s mathematical theory of prediction and filtering. Zbl 0036.21502 Levinson, Norman 8 1947 A polynomial canonical form for certain analytic functions of two variables at a critical point. Zbl 0192.18202 Levinson, N. 7 1960 Limiting theorems for Galton-Watson branching process. Zbl 0229.60057 Levinson, Norman 7 1959 On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid. I. Zbl 0061.44506 Levinson, N. 6 1946 On the non-uniqueness of periodic solutions for an asymmetric Liénard equation. Zbl 0046.31701 Duff, G. F. D.; Levinson, N. 6 1952 A boundary value problem for a singularly perturbed differential equation. Zbl 0173.35301 Levinson, N. 5 1958 The growth of the solutions of a differential equation. Zbl 0024.39903 Levinson, N. 5 1941 A simple second order differential equation with singular motions. Zbl 0038.24904 Levinson, N. 5 1948 Perturbations of linear systems with constant coefficients possessing periodic solutions. Zbl 0047.08701 Coddington, E. A.; Levinson, N. 5 1952 On the Poisson summability of Fourier series. Zbl 0013.35003 Levinson, Norman 4 1936 A theorem of Boas. Zbl 0024.42001 Levinson, Norman 4 1941 On stability of non-linear systems of differential equations. Zbl 0039.31501 Levinson, Norman 4 1949 Separation of Laplace’s equation. Zbl 0041.22304 Levinson, N.; Bogert, B.; Redheffer, R. M. 4 1949 On theorems of Berlowitz and Berndt. Zbl 0224.10042 Levinson, N. 4 1971 Uniqueness and the convergence of successive approximations. Zbl 0047.08305 Coddington, E. A.; Levinson, N. 4 1952 A theorem of Boas. JFM 67.0270.03 Levinson, N. 3 1941 Corrections to ’The Gontcharoff polynomials’. Zbl 0061.15110 Levinson, Norman 3 1945 The stability of linear, real, periodic self-adjoint systems of differential equations. Zbl 0122.32504 Levinson, N. 3 1963 Summing certain number theoretic series arising in the sieve. Zbl 0157.09501 Levinson, N. 3 1968 A motivated account of an elementary proof of the prime number theorem. Zbl 0172.06001 Levinson, N. 3 1969 On non-harmonic Fourier series. Zbl 0015.20804 Levinson, Norman 3 1936 Forced periodic solutions of a stable non-linear system of differential equations. Zbl 0042.09901 Farnell, A. B.; Langenhop, C. E.; Levinson, N. 3 1951 Asymptotic formula for the coordinates of the zeros of sections of the zeta function, \(\zeta_n\)(s), near s = 1. Zbl 0253.10030 Levinson, Norman 3 1973 At least one-third of zeros of Riemann’s zeta-function are on \(\sigma = 1/2\). Zbl 0277.10032 Levinson, Norman 3 1974 Deduction of semi-optimal mollifier for obtaining lower bound for N\(_0\)(T) for Riemann’s zeta-function. Zbl 0294.10027 Levinson, Norman 3 1975 On the Szasz-Müntz theorem. Zbl 0294.41020 Levinson, Norman 3 1974 On non-harmonic Fourier series. JFM 62.0279.01 Levinson, N. 2 1936 On the closure of \(\left\{e^{i \lambda_n x}\right\}\) and integral functions. JFM 61.0268.02 Levinson, N. 2 1935 On closure problems and the zeros of the Riemann zeta function. Zbl 0072.06802 Levinson, Norman 2 1956 A variant of the Selberg inequality. Zbl 0141.04601 Levinson, N. 2 1965 On a problem of Polya. Zbl 0015.30802 Levinson, Norman 2 1936 General gap Tauberian theorems: I. Zbl 0019.16102 Levinson, Norman 2 1938 Remarks on a formula of Riemann for his zeta-function. Zbl 0252.10042 Levinson, Norman 2 1973 On the elementary character of Wiener’s general Tauberian theorem. Zbl 0256.40007 Levinson, Norman 2 1973 Generalization of recent method giving lower bound for \(N_0(T)\) of Riemann’s zeta-function. Zbl 0287.10024 Levinson, Norman 2 1974 Zeros of derivative of Riemann’s \(\xi\)-function. Zbl 0289.10027 Levinson, Norman 2 1974 A simplification in the proof that \(N_0(T) > \tfrac13 N(T)\) for Riemann’s zeta-function. Zbl 0321.10035 Levinson, Norman 2 1975 Lectures on ordinary differential equations. With a preface by Norman Levinson. With an obituary of Hurewicz by Solomon Lefschetz. Reprint of the 1964 edition. Zbl 0734.34002 Hurewicz, Witold 2 1990 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 2 1978 Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”. Zbl 0045.04602 Levinson, Norman 2 1951 Norbert Wiener 1894–1964. Reprint. Zbl 0209.00101 1 1966 Restrictions imposed by certain functions on their Fourier transforms. JFM 66.0513.02 Levinson, N. 1 1940 On the closure of \(\{e^{i\lambda _n x}\}\). JFM 62.0277.02 Levinson, N. 1 1936 On certain theorems of Pólya and Bernstein. JFM 62.0321.01 Levinson, N. 1 1936 On a problem of Pólya. JFM 62.0354.02 Levinson, N. 1 1936 The expansion theorem for singular self-adjoint linear differential operators. Zbl 0055.31605 Levinson, Norman 1 1954 Transform and inverse transform expansions for singular self-adjoint differential operators. Zbl 0081.07903 Levinson, N. 1 1958 Remark about Wintner’s comparison theorem. Zbl 0083.07704 Levinson, Norman 1 1958 On \(u''+(1+\lambda g(x))u=0\) for \(\int_0^\infty | g(x) | dx < \infty\). Zbl 0090.05802 Kemp, R. R. D.; Levinson, Norman 1 1959 Weighted trigonometrical approximation on \(R^1\) with application to the germ field of a stationary Gaussian process. Zbl 0119.14103 Levinson, N.; McKean, H. P. jun. 1 1964 The prime number theorem from \(\log n!\). Zbl 0125.02505 Levinson, N. 1 1964 One-sided inequalities for elliptic differential operators. Zbl 0135.15502 Levinson, N. 1 1965 The sum of the intersections of a cone with a linear subspace and of dual cone with orthogonal complementary subspace. Zbl 0158.19801 Levinson, N.; Sherman, T. O. 1 1966 Lectures on ordinary differential equations. With a preface by Norman Levinson. With an obituary of Hurewicz by Solomon Lefschetz. Reprint of the 1964 edition. Zbl 0734.34002 Hurewicz, Witold 2 1990 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 2 1978 Almost all roots of \(\zeta(s)=a\) are arbitrarily close to \(\sigma=1/2\). Zbl 0301.10033 Levinson, Norman 26 1975 Deduction of semi-optimal mollifier for obtaining lower bound for N\(_0\)(T) for Riemann’s zeta-function. Zbl 0294.10027 Levinson, Norman 3 1975 A simplification in the proof that \(N_0(T) > \tfrac13 N(T)\) for Riemann’s zeta-function. Zbl 0321.10035 Levinson, Norman 2 1975 More than one third of zeros of Riemann’s zeta-function are on \(\sigma=1/2\). Zbl 0281.10017 Levinson, Norman 80 1974 Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025 Levinson, Norman; Montgomery, Hugh L. 50 1974 At least one-third of zeros of Riemann’s zeta-function are on \(\sigma = 1/2\). Zbl 0277.10032 Levinson, Norman 3 1974 On the Szasz-Müntz theorem. Zbl 0294.41020 Levinson, Norman 3 1974 Generalization of recent method giving lower bound for \(N_0(T)\) of Riemann’s zeta-function. Zbl 0287.10024 Levinson, Norman 2 1974 Zeros of derivative of Riemann’s \(\xi\)-function. Zbl 0289.10027 Levinson, Norman 2 1974 Asymptotic formula for the coordinates of the zeros of sections of the zeta function, \(\zeta_n\)(s), near s = 1. Zbl 0253.10030 Levinson, Norman 3 1973 Remarks on a formula of Riemann for his zeta-function. Zbl 0252.10042 Levinson, Norman 2 1973 On the elementary character of Wiener’s general Tauberian theorem. Zbl 0256.40007 Levinson, Norman 2 1973 \(\Omega\)-theorems for the Riemann zeta-function. Zbl 0213.06402 Levinson, Norman 9 1972 \(\Omega\)-theorems for quotients of zeta-functions at combinations of points. Zbl 0238.10024 Levinson, Norman 1 1972 On theorems of Berlowitz and Berndt. Zbl 0224.10042 Levinson, N. 4 1971 Complex variables. Zbl 0201.40202 Levinson, N.; Redheffer, R. M. 32 1970 A motivated account of an elementary proof of the prime number theorem. Zbl 0172.06001 Levinson, N. 3 1969 Summing certain number theoretic series arising in the sieve. Zbl 0157.09501 Levinson, N. 3 1968 Linear programming in complex space. Zbl 0136.13802 Levinson, N. 54 1966 A class of continuous linear programming problems. Zbl 0141.35601 Levinson, N. 51 1966 Minimax, Liapunov and ’bang-bang’. Zbl 0201.48002 Levinson, N. 12 1966 Norbert Wiener 1894–1964. Reprint. Zbl 0209.00101 1 1966 The sum of the intersections of a cone with a linear subspace and of dual cone with orthogonal complementary subspace. Zbl 0158.19801 Levinson, N.; Sherman, T. O. 1 1966 Simplified treatment of integrals of Cauchy type, the Hilbert problem and singular integral equations. Appendix: Poincaré-Bertrand formula. Zbl 0158.08001 Levinson, N. 10 1965 A variant of the Selberg inequality. Zbl 0141.04601 Levinson, N. 2 1965 One-sided inequalities for elliptic differential operators. Zbl 0135.15502 Levinson, N. 1 1965 Generalization of an inequality of Ky Fan. Zbl 0128.05803 Levinson, N. 46 1964 Generalizations of an inequality of Hardy. Zbl 0126.28101 Levinson, N. 42 1964 Weighted trigonometrical approximation on \(R^ 1\) with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901 Levinson, N.; McKean, H. jun. 32 1964 On an inequality of Opial and Beesack. Zbl 0134.27902 Levinson, N. 15 1964 Weighted trigonometrical approximation on \(R^1\) with application to the germ field of a stationary Gaussian process. Zbl 0119.14103 Levinson, N.; McKean, H. P. jun. 1 1964 The prime number theorem from \(\log n!\). Zbl 0125.02505 Levinson, N. 1 1964 Dirichlet problem for \(\Delta u = f(P,u)\). Zbl 0124.30901 Levinson, N. 11 1963 The stability of linear, real, periodic self-adjoint systems of differential equations. Zbl 0122.32504 Levinson, N. 3 1963 Positive eigenfunctions for \(\Delta u+\lambda f(u) = 0\). Zbl 0108.28902 Levinson, N. 16 1962 Transformation of an analytic function of several variables to a canonical form. Zbl 0100.29002 Levinson, N. 8 1961 A nonlinear Volterra equation arising in the theory of superfluidity. Zbl 0094.08501 Levinson, N. 43 1960 Limiting theorems for age-dependent branching processes. Zbl 0109.36101 Levinson, N. 10 1960 A canonical form for an analytic function of several variables at a critical point. Zbl 0192.18201 Levinson, N. 9 1960 A polynomial canonical form for certain analytic functions of two variables at a critical point. Zbl 0192.18202 Levinson, N. 7 1960 Limiting theorems for Galton-Watson branching process. Zbl 0229.60057 Levinson, Norman 7 1959 On \(u''+(1+\lambda g(x))u=0\) for \(\int_0^\infty | g(x) | dx < \infty\). Zbl 0090.05802 Kemp, R. R. D.; Levinson, Norman 1 1959 A boundary value problem for a singularly perturbed differential equation. Zbl 0173.35301 Levinson, N. 5 1958 Transform and inverse transform expansions for singular self-adjoint differential operators. Zbl 0081.07903 Levinson, N. 1 1958 Remark about Wintner’s comparison theorem. Zbl 0083.07704 Levinson, Norman 1 1958 On closure problems and the zeros of the Riemann zeta function. Zbl 0072.06802 Levinson, Norman 2 1956 Theory of ordinary differential equations. Zbl 0064.33002 Coddington, Earl A.; Levinson, Norman 2,315 1955 Periodic solutions of singularly perturbed systems. Zbl 0066.07302 Flatto, L.; Levinson, N. 47 1955 A boundary value problem for a singulary perturbed differential equation. Zbl 0066.06503 Haber, S.; Levinson, N. 13 1955 Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation. Zbl 0055.08204 Levin, J. J.; Levinson, Norman 33 1954 The expansion theorem for singular self-adjoint linear differential operators. Zbl 0055.31605 Levinson, Norman 1 1954 Certain explicit relationships between phase shift and scattering potential. Zbl 0050.22704 Levinson, Norman 14 1953 A boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0046.09503 Coddington, Earl A.; Levinson, Norman 23 1952 On the non-uniqueness of periodic solutions for an asymmetric Liénard equation. Zbl 0046.31701 Duff, G. F. D.; Levinson, N. 6 1952 Perturbations of linear systems with constant coefficients possessing periodic solutions. Zbl 0047.08701 Coddington, E. A.; Levinson, N. 5 1952 Uniqueness and the convergence of successive approximations. Zbl 0047.08305 Coddington, E. A.; Levinson, N. 4 1952 On the nature of the spectrum of singular second order linear differential equations. Zbl 0042.32602 Coddington, E. A.; Levinson, N. 780 1951 A simplified proof of the expansion theorem for singular second order linear differential equations. Zbl 0044.31302 Levinson, Norman 18 1951 Forced periodic solutions of a stable non-linear system of differential equations. Zbl 0042.09901 Farnell, A. B.; Langenhop, C. E.; Levinson, N. 3 1951 Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”. Zbl 0045.04602 Levinson, Norman 2 1951 The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\). Zbl 0036.06801 Levinson, Norman 56 1950 Small periodic perturbations of an autonomous system with a stable orbit. Zbl 0038.24903 Levinson, Norman 22 1950 Perturbations of discontinuous solutions of non-linear systems of differential equations. Zbl 0039.31404 Levinson, Norman 14 1950 The inverse Sturm-Liouville problem. Zbl 0041.42310 Levinson, Norman 63 1949 A second order differential equation with singular solutions. Zbl 0041.42311 Levinson, Norman 49 1949 The inverse Sturm-Liouville problem. Zbl 0045.36402 Levinson, Norman 27 1949 On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase. Zbl 0032.20702 Levinson, N. 26 1949 A second order differential equation with singular solutions. Zbl 0045.36501 Levinson, Norman 20 1949 Criteria for the limit-point case for second order linear differential operators. Zbl 0033.18102 Levinson, Norman 18 1949 On stability of non-linear systems of differential equations. Zbl 0039.31501 Levinson, Norman 4 1949 Separation of Laplace’s equation. Zbl 0041.22304 Levinson, N.; Bogert, B.; Redheffer, R. M. 4 1949 The asymptotic nature of solutions of linear systems of differential equations. Zbl 0040.19402 Levinson, Norman 107 1948 A simple second order differential equation with singular motions. Zbl 0038.24904 Levinson, N. 5 1948 A heuristic exposition of Wiener’s mathematical theory of prediction and filtering. Zbl 0036.21502 Levinson, Norman 8 1947 The asymptotic behaviour of a system of linear differential equations. Zbl 0061.19706 Levinson, Norman 33 1946 On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid. I. Zbl 0061.44506 Levinson, N. 6 1946 Corrections to ’The Gontcharoff polynomials’. Zbl 0061.15110 Levinson, Norman 3 1945 Transformation theory of non-linear differential equations of the second order. Zbl 0061.18910 Levinson, Norman 53 1944 The Gontcharoff polynomials. Zbl 0060.22403 Levinson, Norman 8 1944 On the existence of periodic solutions for second order differential equations with a forcing term. Zbl 0061.18909 Levinson, Norman 34 1943 On a non-linear differential equation of the second order. Zbl 0061.18912 Levinson, Norman 15 1943 A general equation for relaxation oscillations. Zbl 0061.18908 Levinson, Norman; Smith, Oliver K. 88 1942 The growth of solutions of a differential equation. Zbl 0061.18605 Boas, Mary L.; Boas, R. P. jun.; Levinson, Norman 11 1942 The growth of the solutions of a differential equation. Zbl 0024.39903 Levinson, N. 5 1941 A theorem of Boas. Zbl 0024.42001 Levinson, Norman 4 1941 A theorem of Boas. JFM 67.0270.03 Levinson, N. 3 1941 An integral inequality of the Phragmen-Lindelöf type. Zbl 0024.21902 Levinson, Norman 1 1941 Gap and density theorems. JFM 66.0332.01 Levinson, N. 166 1940 Gap and density theorems. Zbl 0145.08003 Levinson, Norman 102 1940 Restrictions imposed by certain functions on their Fourier transforms. JFM 66.0513.02 Levinson, N. 1 1940 General gap Tauberian theorems: I. Zbl 0019.16102 Levinson, Norman 2 1938 On a class of non-vanishing functions. JFM 62.0278.02 Levinson, N. 11 1936 On the Poisson summability of Fourier series. Zbl 0013.35003 Levinson, Norman 4 1936 On non-harmonic Fourier series. Zbl 0015.20804 Levinson, Norman 3 1936 On non-harmonic Fourier series. JFM 62.0279.01 Levinson, N. 2 1936 On a problem of Polya. Zbl 0015.30802 Levinson, Norman 2 1936 On the closure of \(\{e^{i\lambda _n x}\}\). JFM 62.0277.02 Levinson, N. 1 1936 On certain theorems of Pólya and Bernstein. JFM 62.0321.01 Levinson, N. 1 1936 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,168 Authors 25 Pečarić, Josip 23 Simon, Barry 20 Rynne, Bryan P. 17 Howes, Frederick A. 16 Hinton, Don Barker 15 Brauer, Fred 15 Eastham, Michael S. P. 15 Gesztesy, Fritz 14 Johnson, Russell Allan 14 Pinto, Manuel 14 Villari, Gabriele 13 Brown, B. Malcolm 13 Cronin-Scanlon, Jane Smiley 13 Hochstadt, Harry 13 Krall, Allan M. 13 Lutz, Donald A. 13 Mond, Bertram 13 Nesterov, Pavel Nikolaevich 13 Steuding, Jörn 12 Annaby, Mahmoud H. 12 Everitt, William Norrie 12 Franca, Matteo 12 Hanson, Morgan A. 12 Nguyen Thanh Long 12 Sedletskiĭ, Anatoliĭ Mechislavovich 12 Waltman, Paul Elvis 12 Zayed, Ahmed I. 11 Binding, Paul Anthony 11 Burton, Theodore Allen 11 Freedman, Herbert Irving 11 Le Thi Phuong Ngoc 11 Remling, Christian 11 Shi, Yuming 11 Ugurlu, Ekin 11 Zettl, Anton 10 Khan, Khuram Ali 9 Aslanov, Afgan 9 Chen, Hebai 9 Harris, William A. jun. 9 Jódar Sanchez, Lucas Antonio 9 Levinson, Norman 9 Mirzoev, Karakhan Agakhan 9 Pečaric, Đilda 9 Young, Robert M. 9 Zanolin, Fabio 8 Adeel, Muhammad 8 Agarwal, Ravi P. 8 Allahverdiev, Bilender Paşaoğlu 8 Antman, Stuart S. 8 Conrey, John Brian 8 Eloe, Paul W. 8 Friedman, Charles N. 8 Hale, Jack Kenneth 8 Hastings, Stuart P. 8 Konyukhova, Nadyezhda B. 8 Lafitte, Olivier D. 8 Lai, Hang-Chin 8 Nieto Roig, Juan Jose 8 Ortega, Rafael 8 Saker, Samir H. 8 Sandstede, Björn 8 Shaw, J. K. 8 Sun, Jiong 8 Suriajaya, Ade Irma 8 Weikard, Rudi 7 Andres, Jan 7 Bailey, Paul B. 7 Bainov, Drumi Dimitrov 7 Barton, Paul I. 7 Bingham, Nicholas Hugh 7 Bodine, Sigrun I. 7 Christ, Michael 7 Kan-on, Yukio 7 Killip, Rowan 7 Llibre, Jaume 7 Medina, Rigoberto 7 Naulin, Raúl M. 7 O’Malley, Robert E. jun. 7 O’Regan, Donal 7 Pachpatte, Baburao Govindrao 7 Papanicolaou, Vassilis G. 7 Pearson, David B. 7 Peherstorfer, Franz 7 Prykarpatsky, Anatoliy Karolevych 7 Robles, Nicolas 7 Russell, David L. 7 Sattinger, David H. 7 Shieh, Chung-Tsun 7 Strauss, Aaron 7 Troy, William C. 7 Wen, Chingfeng 7 Wu, Hsien-Chung 7 Yagasaki, Kazuyuki 7 Yanagida, Eiji 7 Yorke, James Alan 7 Zaharescu, Alexandru 7 Zumbrun, Kevin R. 6 Abramov, Sergeĭ Aleksandrovich 6 Akhmet, Marat Ubaydulla 6 Al-Hammadi, Abdulaziz Sultan Ali ...and 5,068 more Authors all top 5 Cited in 624 Serials 459 Journal of Mathematical Analysis and Applications 295 Journal of Differential Equations 112 Proceedings of the American Mathematical Society 108 Transactions of the American Mathematical Society 80 Archive for Rational Mechanics and Analysis 62 Journal of Computational and Applied Mathematics 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Physica D 57 Communications in Mathematical Physics 54 Nonlinear Analysis. Theory, Methods & Applications 51 Applied Mathematics and Computation 50 Annali di Matematica Pura ed Applicata. Serie Quarta 50 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 49 Mathematical Notes 41 Journal of Functional Analysis 40 Journal of Mathematical Physics 40 Journal of Optimization Theory and Applications 37 Mathematical Biosciences 37 Ukrainian Mathematical Journal 36 Mathematische Zeitschrift 35 Advances in Mathematics 34 Journal of Mathematical Biology 33 Mathematische Nachrichten 33 Bulletin of the American Mathematical Society 31 International Journal of Control 30 Czechoslovak Mathematical Journal 30 Journal of Dynamics and Differential Equations 29 Automatica 29 Studies in Applied Mathematics 28 Computers & Mathematics with Applications 28 Rocky Mountain Journal of Mathematics 28 Numerische Mathematik 27 Journal of Mathematical Sciences (New York) 26 Mathematische Annalen 25 Journal of Approximation Theory 25 Journal of Number Theory 23 Journal d’Analyse Mathématique 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Differential Equations 21 Journal of the Franklin Institute 21 Monatshefte für Mathematik 20 Journal of Applied Mathematics and Mechanics 20 Linear Algebra and its Applications 19 Annales de l’Institut Fourier 19 Nonlinear Analysis. Real World Applications 18 Applicable Analysis 18 Mathematical Methods in the Applied Sciences 18 Numerical Functional Analysis and Optimization 18 Applied Mathematics Letters 17 Acta Mathematica 17 Journal of Soviet Mathematics 17 Quaestiones Mathematicae 16 Bulletin of the Australian Mathematical Society 16 Inventiones Mathematicae 16 Rendiconti del Circolo Matemàtico di Palermo. Serie II 16 Systems & Control Letters 16 Mathematical and Computer Modelling 16 Journal of Difference Equations and Applications 16 Journal of Inequalities and Applications 15 Mathematics of Computation 15 Acta Applicandae Mathematicae 15 Communications in Partial Differential Equations 15 Calculus of Variations and Partial Differential Equations 15 Advances in Difference Equations 14 Journal of Computational Physics 14 Bulletin of Mathematical Biology 14 Duke Mathematical Journal 14 Results in Mathematics 14 Abstract and Applied Analysis 14 Discrete and Continuous Dynamical Systems. Series B 13 Acta Mechanica 13 Communications on Pure and Applied Mathematics 13 Physics of Fluids 13 Chaos, Solitons and Fractals 13 Integral Equations and Operator Theory 13 Siberian Mathematical Journal 13 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Dynamical and Control Systems 12 Archiv der Mathematik 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 The Journal of Geometric Analysis 12 Computational Mathematics and Mathematical Physics 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Qualitative Theory of Dynamical Systems 12 Proceedings of the Steklov Institute of Mathematics 11 International Journal of Engineering Science 11 Journal of Statistical Physics 11 Letters in Mathematical Physics 11 Theoretical and Mathematical Physics 11 Arkiv för Matematik 11 Applied Mathematics and Optimization 11 Mathematika 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Discrete and Continuous Dynamical Systems 11 Lobachevskii Journal of Mathematics 11 SIAM Journal on Applied Dynamical Systems 10 International Journal of Systems Science 10 Lithuanian Mathematical Journal 10 Mathematical Proceedings of the Cambridge Philosophical Society ...and 524 more Serials all top 5 Cited in 61 Fields 1,756 Ordinary differential equations (34-XX) 777 Partial differential equations (35-XX) 416 Operator theory (47-XX) 412 Dynamical systems and ergodic theory (37-XX) 292 Numerical analysis (65-XX) 266 Systems theory; control (93-XX) 260 Biology and other natural sciences (92-XX) 200 Fluid mechanics (76-XX) 196 Probability theory and stochastic processes (60-XX) 188 Number theory (11-XX) 177 Calculus of variations and optimal control; optimization (49-XX) 155 Harmonic analysis on Euclidean spaces (42-XX) 148 Quantum theory (81-XX) 142 Operations research, mathematical programming (90-XX) 136 Real functions (26-XX) 134 Functions of a complex variable (30-XX) 128 Mechanics of particles and systems (70-XX) 109 Mechanics of deformable solids (74-XX) 107 Functional analysis (46-XX) 100 Difference and functional equations (39-XX) 97 Integral equations (45-XX) 94 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Differential geometry (53-XX) 88 Global analysis, analysis on manifolds (58-XX) 75 Approximations and expansions (41-XX) 71 Statistical mechanics, structure of matter (82-XX) 68 Special functions (33-XX) 62 Information and communication theory, circuits (94-XX) 50 Statistics (62-XX) 37 Several complex variables and analytic spaces (32-XX) 36 Computer science (68-XX) 35 Optics, electromagnetic theory (78-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 28 Integral transforms, operational calculus (44-XX) 28 Classical thermodynamics, heat transfer (80-XX) 28 Relativity and gravitational theory (83-XX) 27 Abstract harmonic analysis (43-XX) 25 Topological groups, Lie groups (22-XX) 22 Algebraic geometry (14-XX) 19 Combinatorics (05-XX) 18 General topology (54-XX) 16 Potential theory (31-XX) 15 Mathematical logic and foundations (03-XX) 14 Astronomy and astrophysics (85-XX) 13 Measure and integration (28-XX) 13 Convex and discrete geometry (52-XX) 12 History and biography (01-XX) 12 Manifolds and cell complexes (57-XX) 10 Sequences, series, summability (40-XX) 9 Field theory and polynomials (12-XX) 9 Nonassociative rings and algebras (17-XX) 8 Geophysics (86-XX) 7 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 5 Commutative algebra (13-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic topology (55-XX) 2 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.