## Hartman, Philip

Compute Distance To:
 Author ID: hartman.philip Published as: Hartman, Philip; Hartman, P.; Hartman, Philipp; Hartman, Ph. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 271 Publications since 1937, including 5 Books Co-Authors: 15 Co-Authors with 134 Joint Publications 276 Co-Co-Authors
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### Co-Authors

 137 single-authored 112 Wintner, Aurel 8 Kershner, Richard B. 6 Van Kampen, Egbert Rudolf 4 Putnam, Calvin R. 1 Calabi, Eugenio 1 Chern, Shiing-Shen 1 Czeslaw, O. 1 D’Archangelo, James 1 Nirenberg, Louis 1 Onuchic, Nelson 1 Sacksteder, Richard 1 Stampacchia, Guido 1 Valentine, Frederick Albert 1 Watson, Geoffrey S. 1 Wilcox, Calvin H.
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### Serials

 131 American Journal of Mathematics 19 Transactions of the American Mathematical Society 17 Duke Mathematical Journal 13 Proceedings of the American Mathematical Society 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Journal of Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Pacific Journal of Mathematics 4 Mathematische Annalen 3 Archive for Rational Mechanics and Analysis 3 Canadian Journal of Mathematics 3 Mathematische Zeitschrift 3 Quarterly of Applied Mathematics 3 Journal of the London Mathematical Society 2 American Mathematical Monthly 2 Journal of Mathematical Analysis and Applications 2 Annales Polonici Mathematici 2 Commentarii Mathematici Helvetici 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bollettino della Unione Matematica Italiana. Series III 2 Bulletin of the American Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Indiana University Mathematics Journal 1 Revista. Serie A. Matematica y Fisica Teorica 1 Journal of Mathematics and Mechanics 1 Physical Review, II. Series 1 Classics in Applied Mathematics 1 Annals of Mathematical Statistics 1 Boletín Matemático 1 The Quarterly Journal of Mathematics. Oxford Series 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 38 Ordinary differential equations (34-XX) 6 Differential geometry (53-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 3 Abstract harmonic analysis (43-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX)

### Citations contained in zbMATH Open

213 Publications have been cited 5,810 times in 5,130 Documents Cited by Year
Ordinary differential equations. Zbl 0125.32102
Hartman, P.
1964
On some non-linear elliptic differential functional equations. Zbl 0142.38102
Hartman, P.; Stampacchia, G.
1966
Ordinary differential equations. 2nd ed. Reprint. Zbl 0476.34002
Hartman, Philip
1982
Ordinary differential equations. 2nd ed., unabridged, corrected republication of the 1982 original. Zbl 1009.34001
Hartman, Philip
2002
On the asymptotic behavior of solutions of a differential equation in boundary layer theory. Zbl 0123.21502
Hartman, Philip
1964
On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303
Hartman, Philip; Nirenberg, Louis
1959
On the local behavior of solutions of non-parabolic partial differential equations. Zbl 0052.32201
Hartman, Philip; Wintner, Aurel
1953
Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity. Zbl 0409.39001
Hartman, Philip
1978
On homotopic harmonic maps. Zbl 0148.42404
Hartman, P.
1967
On non-oscillatory linear differential equations of second order. Zbl 0048.06602
Hartman, Philip
1952
On local homeomorphisms of Euclidean spaces. Zbl 0127.30202
Hartman, P.
1960
Ordinary differential equations. 2nd ed. with some corrections and additions. Zbl 0281.34001
Hartman, Philip
1973
A lemma in the theory of structural stability of differential equations. Zbl 0132.31904
Hartman, P.
1960
Ordinary differential equations. (Obyknovennye differentsial’nye uravneniya.) Übersetzung aus dem Englischen von I.H.Sabitov und Yu.V.Egorov unter Redaktion von V.M.Alekseev. Zbl 0214.09101
Hartman, Philip
1970
On boundary value problems for systems of ordinary, nonlinear, second order differential equations. Zbl 0098.06101
Hartman, Philip
1960
On the law of the iterated logarithm. JFM 67.0460.03
Hartman, P.; Wintner, A.
1941
On the local linearization of differential equations. Zbl 0115.29801
Hartman, P.
1963
On the law of the iterated logarithm. Zbl 0024.15802
Hartman, Philip; Wintner, Aurel
1941
On functions representable as a difference of convex functions. Zbl 0093.06401
Hartman, Philip
1959
Asymptotic integrations of linear differential equations. Zbl 0064.08703
Hartman, Philip; Wintner, Aurel
1955
On hyperbolic partial differential equations. Zbl 0048.33302
Hartman, Philip; Wintner, Aurel
1952
Geodesic parallel coordinates in the large. Zbl 0128.16105
Hartman, Philip
1964
On completely continuous Hankel matrices. Zbl 0090.09203
Hartman, Philip
1959
On an oscillation criterion of Liapounoff. Zbl 0043.08704
Hartman, Philip; Wintner, Aurel
1951
On the infinitesimal generators of integral convolutions. Zbl 0063.01951
Hartman, P.; Wintner, A.
1942
On N-parameter families and interpolation problems for nonlinear ordinary differential equations. Zbl 0222.34017
Hartman, Philip
1971
On boundary value problems for superlinear second order differential equations. Zbl 0365.34032
Hartman, Philip
1977
Umbilical points and $$W$$-surfaces. Zbl 0055.39601
Hartman, Philip; Wintner, Aurel
1954
Linear differential and difference equations with monotone solutions. Zbl 0051.07105
Hartman, Philip; Wintner, Aurel
1953
On dichotomies for solutions of $$n$$-th order linear differential equations. Zbl 0119.07302
Hartman, Ph.
1962
On the isometric immersions in Euclidean space of manifolds with nonnegative sectional curvatures. II. Zbl 0194.22702
Hartman, Philip
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
1970
’Normal’ distribution functions on spheres and the modified Bessel functions. Zbl 0305.60033
Hartman, Philip; Watson, Geoffrey S.
1974
Unrestricted $$n$$-parameter families. Zbl 0085.04505
Hartman, Philip
1958
On global asymptotic stability of solutions of differential equations. Zbl 0109.06003
Hartman, P.; Czeslaw, O.
1962
The spectra of Toeplitz’s matrices. Zbl 0056.11301
Hartman, Philip; Wintner, Aurel
1954
On solutions of the Helmholtz equation in exterior domains. Zbl 0096.07601
Hartman, Philip; Wilcox, Calvin
1961
Oscillation criteria for self-adjoint second-order differential systems and ”Principal sectional curvatures”. Zbl 0443.34029
Hartman, Philip
1979
Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations. Zbl 0077.08701
Hartman, Philipp
1957
On the asymptotic integration of ordinary differential equations. Zbl 0188.46102
Hartman, P.; Onuchic, N.
1963
Differential equations with non oscillatory eigenfunctions. Zbl 0031.30606
Hartman, Philip
1948
On invariant sets and on a theorem of Wazewski. Zbl 0272.34049
Hartman, Philip
1972
Principal solutions of diconjugate $$n$$-th order linear differential equations. Zbl 0184.11603
Hartman, P.
1969
On the fundamental equations of differential geometry. Zbl 0039.16802
Hartman, Philip; Wintner, Aurel
1950
On complete hypersurfaces of nonnegative sectional curvatures and constant mth mean curvature. Zbl 0412.53027
Hartman, Philip
1978
On the non-increasing solutions of $$y"=f(x,y,y')$$. Zbl 0042.32601
Hartman, Philip; Wintner, Aurel
1951
On the third fundamental form of a surface. Zbl 0050.37805
Hartman, Philip; Wintner, Aurel
1953
On a comparison theorem for self-adjoint partial differential equations of elliptic type. Zbl 0067.07903
Hartman, Philip; Wintner, Aurel
1955
On the spectra of Toeplitz’s matrices. Zbl 0035.35903
Hartman, Philip; Wintner, Aurel
1950
On the local uniqueness of geodesics. Zbl 0039.16803
Hartman, Philip
1950
The number of $$L^2$$-solutions of $$x''+q(t)x=0$$. Zbl 0044.31202
Hartman, Philip
1951
On stability in the large for systems of ordinary differential equations. Zbl 0103.05901
Hartman, Philip
1961
Asymptotic integrations of ordinary nonlinear differential equations. Zbl 0066.06902
Hartman, Philip; Wintner, Aurel
1955
On the local behavior of solutions of non-parabolic partial differential equations. III. Approximation by spherical harmonics. Zbl 0066.08001
Hartman, Philip; Wintner, Aurel
1955
On an ordinary differential equation involving a convex function. Zbl 0196.10703
Hartman, P.
1969
On disconjugate differential systems. Zbl 0075.07701
Hartman, Philip; Wintner, Aurel
1956
On isometric immersions in Euclidean space of manifolds with non-negative sectional curvatures. Zbl 0137.14702
Hartman, P.
1965
On the bounded slope condition. Zbl 0149.32001
Hartman, Philip
1966
A characterization of the spectra of one-dimensional wave equations. Zbl 0035.18303
Hartman, Philip
1949
On the asymptotic curves of a surface. Zbl 0042.15701
Hartman, Philip; Wintner, Aurel
1951
On uniform Dini conditions in the theory of linear partial differential equations of elliptic type. Zbl 0067.32602
Hartman, Philip; Wintner, Aurel
1955
On isometries and on a theorem of Liouville. Zbl 0097.38203
Hartman, Philip
1958
A separation theorem for continuous spectra. Zbl 0033.27301
Hartman, Philipp; Wintner, Aurel
1949
A criterion for the non-degeneracy of the wave equation. Zbl 0035.18202
Hartman, Philip; Wintner, Aurel
1949
On the problems of geodesics. in the small. Zbl 0042.15605
Hartman, Philip; Wintner, Aurel
1951
On non-oscillatory linear differential equations. Zbl 0051.06503
Hartman, Philip; Wintner, Aurel
1953
On disconjugacy criteria. Zbl 0191.38301
Hartman, P.
1970
On linear second order differential equations with small coefficients. Zbl 0045.36401
Hartman, Philip
1951
On the products of solutions of second order disconjugate differential equations and the Whittaker differential equations. Zbl 0353.34016
Hartman, Philip
1977
On the existence of similar solutions of some boundary layer problems. Zbl 0258.34015
Hartman, Philip
1972
Criteria of non-degeneracy for the wave equation. Zbl 0035.18201
Hartman, Philip; Wintner, Aurel
1948
On a theorem of Milloux. Zbl 0035.18204
Hartman, Philip
1948
The least cluster point of the spectrum of boundary value problems. Zbl 0035.18304
Hartman, Philip; Putnam, Calvin R.
1948
On the solutions of the equation of heat conduction. Zbl 0038.25801
Hartman, Philip; Wintner, Aurel
1950
On the embedding problem in differential geometry. Zbl 0038.33403
Hartman, Philip; Wintner, Aurel
1950
The existence of large or small solutions of linear differential equations. Zbl 0102.30301
Hartman, Philip
1961
An oscillation theorem for continuous spectra. Zbl 0031.02704
Hartman, Philip; Wintner, Aurel
1947
Unrestricted solution fields of almost-separable differential equations. Zbl 0031.39801
Hartman, Philip
1948
On geodesic coordinates. Zbl 0044.17306
Hartman, Philip
1951
On monotone solutions of systems of non-linear differential equations. Zbl 0056.08403
Hartman, Philip; Wintner, Aurel
1954
The divergence of non-harmonic gap series. Zbl 0063.01946
Hartman, Philip
1942
On an oscillation criterion of De la Vallée Poussin. Zbl 0066.06404
Hartman, Philip; Wintner, Aurel
1955
Completely monotone families of solutions of $$n$$-th order linear differential equations and infinitely divisible distributions. Zbl 0386.34016
Hartman, Philip
1976
Boundary value problems for second order, ordinary differential equations involving a parameter. Zbl 0255.34012
Hartman, Philip
1972
Oscillatory and non-oscillatory linear differential equations. Zbl 0040.34002
Hartman, Philip; Wintner, Aurel
1949
On sine series with monotone coefficients. Zbl 0050.07206
Hartman, Philip; Wintner, Aurel
1953
On two-point boundary value problems for nonlinear second order systems. Zbl 0297.34015
Hartman, Philip
1974
On isothermic coordinates. Zbl 0056.40206
Chern, Shiing-shen; Hartman, Philip; Wintner, Aurel
1954
On the linear logarithmico-exponential differential equation of the second order. Zbl 0035.18302
Hartman, Philip
1948
The gaps in the essential spectra of wave equations. Zbl 0038.24804
Hartman, Philip; Putnam, Calvin R.
1950
Gaussian curvature and local embedding. Zbl 0044.18402
Hartman, Philip; Wintner, Aurel
1951
On nonoscillation linear differential equations of second order. Zbl 0412.34017
Hartman, Philip
1977
On the assignment of asymptotic values for the solutions of linear differential equations of second order. Zbl 0064.33205
Hartman, Philip; Wintner, Aurel
1955
On differential equations and the function $${J_\mu}^2 + {Y_\mu}^2$$. Zbl 0096.27001
Hartman, Philip
1961
Disconjugate $$n$$-th order differential equations and principal solutions. Zbl 0162.39102
Hartman, P.
1968
On linear difference equations of second order. Zbl 0035.05803
Hartman, Philip; Wintner, Aurel
1950
On the essential spectra of symmetric operators in Hilbert space. Zbl 0050.11802
Hartman, Philip
1953
On the essential spectra of singular eigenvalue problems. Zbl 0054.03902
Hartman, Philip; Wintner, Aurel
1950
Normal distributions and the law of the iterated logarithm. JFM 67.0460.04
Hartman, P.
1941
On the spherical approach to the normal distribution law. JFM 66.0515.02
Hartman, P.; Wintner, A.
1940
Ordinary differential equations. 2nd ed., unabridged, corrected republication of the 1982 original. Zbl 1009.34001
Hartman, Philip
2002
Asymptotic integration of ordinary differential equations. Zbl 0545.34038
Hartman, Philip
1983
Remarks on geodesics. Zbl 0526.53015
Hartman, Philip
1983
Ordinary differential equations. 2nd ed. Reprint. Zbl 0476.34002
Hartman, Philip
1982
On the maximum principles of A. D. Alexandrov in the uniqueness theory for hypersurfaces. Zbl 0455.53002
Hartman, Philip
1980
Oscillation criteria for self-adjoint second-order differential systems and ”Principal sectional curvatures”. Zbl 0443.34029
Hartman, Philip
1979
Uniqueness of principal values, complete monotonicity of logarithmic derivatives of principal solutions, and oscillation theorems. Zbl 0387.34031
Hartman, Philip
1979
Some singular nonoscillatory boundary value problems. Zbl 0422.34019
Hartman, Philip
1979
Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity. Zbl 0409.39001
Hartman, Philip
1978
On complete hypersurfaces of nonnegative sectional curvatures and constant mth mean curvature. Zbl 0412.53027
Hartman, Philip
1978
Monotony properties and inequalities for Green’s functions for multipoint boundary value problems. Zbl 0389.34015
Hartman, Philip
1978
Linear second order systems of ordinary differential equations and geodesic flows. Zbl 0446.34013
Hartman, Philip
1978
On boundary value problems for superlinear second order differential equations. Zbl 0365.34032
Hartman, Philip
1977
On the products of solutions of second order disconjugate differential equations and the Whittaker differential equations. Zbl 0353.34016
Hartman, Philip
1977
On nonoscillation linear differential equations of second order. Zbl 0412.34017
Hartman, Philip
1977
Completely monotone families of solutions of $$n$$-th order linear differential equations and infinitely divisible distributions. Zbl 0386.34016
Hartman, Philip
1976
Some characterizations of the Euclidean sphere. Zbl 0361.53002
Hartman, Philip
1976
Positive and monotone solutions of linear ordinary differential equations. Zbl 0328.34008
Hartman, Philip
1975
Infinite convolutions on locally compact Abelian groups and additive functions. Zbl 0355.60006
Hartman, Philip
1975
Integration of ordinary linear differential equations by Laplace- Stieltjes transforms. Zbl 0305.34010
D&rsquo;Archangelo, James; Hartman, Philip
1975
’Normal’ distribution functions on spheres and the modified Bessel functions. Zbl 0305.60033
Hartman, Philip; Watson, Geoffrey S.
1974
On two-point boundary value problems for nonlinear second order systems. Zbl 0297.34015
Hartman, Philip
1974
On solutions of disconjugate differential equations. Zbl 0297.34027
Hartman, Philip
1974
Logarithmic derivatives of solutions of disconjugate differential equations. Zbl 0293.34017
Hartman, Philip
1974
Ordinary differential equations. 2nd ed. with some corrections and additions. Zbl 0281.34001
Hartman, Philip
1973
On differential equations, Volterra equations and the function $$J^2_\mu+Y^2_\mu$$. Zbl 0277.34007
Hartman, Philip
1973
On invariant sets and on a theorem of Wazewski. Zbl 0272.34049
Hartman, Philip
1972
On the existence of similar solutions of some boundary layer problems. Zbl 0258.34015
Hartman, Philip
1972
Boundary value problems for second order, ordinary differential equations involving a parameter. Zbl 0255.34012
Hartman, Philip
1972
On the swirling flow problem. Zbl 0258.34016
Hartman, Philip
1972
Convex functions and mean value inequalities. Zbl 0247.26009
Hartman, Philip
1972
On N-parameter families and interpolation problems for nonlinear ordinary differential equations. Zbl 0222.34017
Hartman, Philip
1971
The swirling flow problem in boundary layer theory. Zbl 0222.34018
Hartman, Philip
1971
On third order, non-linear, singular, boundary value problems. Zbl 0204.40202
Hartman, P.
1971
Corrigendum and addendum: Principal solutions of disconjugate $$n$$-th order linear differential equations. Zbl 0222.34027
Hartman, Philip
1971
Disconjugacy and Wronskians. Zbl 0263.34037
Hartman, Philip
1971
Ordinary differential equations. (Obyknovennye differentsial’nye uravneniya.) Übersetzung aus dem Englischen von I.H.Sabitov und Yu.V.Egorov unter Redaktion von V.M.Alekseev. Zbl 0214.09101
Hartman, Philip
1970
On the isometric immersions in Euclidean space of manifolds with nonnegative sectional curvatures. II. Zbl 0194.22702
Hartman, Philip
1970
On the smoothness of isometries. Zbl 0203.54304
Calabi, E.; Hartman, P.
1970
On disconjugacy criteria. Zbl 0191.38301
Hartman, P.
1970
Frobenius theorem under Caratheodory type conditions. Zbl 0188.14204
Hartman, P.
1970
Principal solutions of diconjugate $$n$$-th order linear differential equations. Zbl 0184.11603
Hartman, P.
1969
On an ordinary differential equation involving a convex function. Zbl 0196.10703
Hartman, P.
1969
Disconjugate $$n$$-th order differential equations and principal solutions. Zbl 0162.39102
Hartman, P.
1968
Convex sets and the bounded slope condition. Zbl 0157.37701
Hartman, P.
1968
On disconjugate differential equations. Zbl 0164.38704
Hartman, P.
1968
On a class of perturbations of the harmonic oscillator. Zbl 0157.15201
Hartman, P.
1968
On homotopic harmonic maps. Zbl 0148.42404
Hartman, P.
1967
On quasilinear elliptic functional-differential equations. Zbl 0161.31301
Hartman, P.
1967
Interpolating families and generalized convex functions. Zbl 0182.38402
Hartman, P.
1967
On some non-linear elliptic differential functional equations. Zbl 0142.38102
Hartman, P.; Stampacchia, G.
1966
On the bounded slope condition. Zbl 0149.32001
Hartman, Philip
1966
On isometric immersions in Euclidean space of manifolds with non-negative sectional curvatures. Zbl 0137.14702
Hartman, P.
1965
Generalized Lyapunov functions and functional equations. Zbl 0196.38201
Hartman, Philip
1965
Ordinary differential equations. Zbl 0125.32102
Hartman, P.
1964
On the asymptotic behavior of solutions of a differential equation in boundary layer theory. Zbl 0123.21502
Hartman, Philip
1964
Geodesic parallel coordinates in the large. Zbl 0128.16105
Hartman, Philip
1964
On the local linearization of differential equations. Zbl 0115.29801
Hartman, P.
1963
On the asymptotic integration of ordinary differential equations. Zbl 0188.46102
Hartman, P.; Onuchic, N.
1963
On unbounded Toeplitz matrices. Zbl 0198.46702
Hartman, Philip
1963
On uniqueness and differentiability of solutions of ordinary differential equations. Zbl 0116.06502
Hartman, P.
1963
A differential equation with non-unique solutions. Zbl 0113.29202
Hartman, P.
1963
On dichotomies for solutions of $$n$$-th order linear differential equations. Zbl 0119.07302
Hartman, Ph.
1962
On global asymptotic stability of solutions of differential equations. Zbl 0109.06003
Hartman, P.; Czeslaw, O.
1962
Aurel Wintner (08.04.1903 - 15.01.1958). Zbl 0106.00401
Hartman, P.
1962
On solutions of the Helmholtz equation in exterior domains. Zbl 0096.07601
Hartman, Philip; Wilcox, Calvin
1961
On stability in the large for systems of ordinary differential equations. Zbl 0103.05901
Hartman, Philip
1961
The existence of large or small solutions of linear differential equations. Zbl 0102.30301
Hartman, Philip
1961
On differential equations and the function $${J_\mu}^2 + {Y_\mu}^2$$. Zbl 0096.27001
Hartman, Philip
1961
On local homeomorphisms of Euclidean spaces. Zbl 0127.30202
Hartman, P.
1960
A lemma in the theory of structural stability of differential equations. Zbl 0132.31904
Hartman, P.
1960
On boundary value problems for systems of ordinary, nonlinear, second order differential equations. Zbl 0098.06101
Hartman, Philip
1960
On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303
Hartman, Philip; Nirenberg, Louis
1959
On functions representable as a difference of convex functions. Zbl 0093.06401
Hartman, Philip
1959
On completely continuous Hankel matrices. Zbl 0090.09203
Hartman, Philip
1959
On exterior derivatives and solutions of ordinary differential equations. Zbl 0104.06904
Hartman, Philip
1959
On the ratio $$f(t+cf^{-\alpha}(t))/f(t)$$. Zbl 0086.07001
Hartman, Philip
1959
On solutions of $$\Delta V + V =$$ in an exterior region. Zbl 0092.31402
Hartman, Philip
1959
On oscillators with large frequencies. Zbl 0086.07002
Hartman, Philip
1959
Unrestricted $$n$$-parameter families. Zbl 0085.04505
Hartman, Philip
1958
On isometries and on a theorem of Liouville. Zbl 0097.38203
Hartman, Philip
1958
On elliptic partial differential equations and uniqueness theorems for closed surfaces. Zbl 0196.24702
Hartman, P.
1958
Hölder continuity and non-linear elliptic partial differential equations. Zbl 0079.31403
Hartman, Philip
1958
On integrating factors and on conformal mappings. Zbl 0080.07606
Hartman, Philip
1958
Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations. Zbl 0077.08701
Hartman, Philipp
1957
Remarks on a uniqueness theorem for closed surfaces. Zbl 0090.38001
Hartman, Philip
1957
Perturbation of spectra and Krein extensions. Zbl 0083.11302
Hartman, Philipp
1957
On maximum principles for non-hyperbolic partial differential operators. Zbl 0085.08301
Hartman, Philip; Sacksteder, Richard
1957
On Laurent operators on $$l_ p$$. Zbl 0077.10602
Hartman, Philip
1957
On disconjugate differential systems. Zbl 0075.07701
Hartman, Philip; Wintner, Aurel
1956
On linear and nonlinear perturbations of linear systems of ordinary differential equations with constant coefficents. Zbl 0070.31201
Hartman, Philip; Wintner, Aurel
1956
Asymptotic integrations of linear differential equations. Zbl 0064.08703
Hartman, Philip; Wintner, Aurel
1955
On a comparison theorem for self-adjoint partial differential equations of elliptic type. Zbl 0067.07903
Hartman, Philip; Wintner, Aurel
1955
Asymptotic integrations of ordinary nonlinear differential equations. Zbl 0066.06902
Hartman, Philip; Wintner, Aurel
1955
On the local behavior of solutions of non-parabolic partial differential equations. III. Approximation by spherical harmonics. Zbl 0066.08001
Hartman, Philip; Wintner, Aurel
1955
On uniform Dini conditions in the theory of linear partial differential equations of elliptic type. Zbl 0067.32602
Hartman, Philip; Wintner, Aurel
1955
On an oscillation criterion of De la Vallée Poussin. Zbl 0066.06404
Hartman, Philip; Wintner, Aurel
1955
On the assignment of asymptotic values for the solutions of linear differential equations of second order. Zbl 0064.33205
Hartman, Philip; Wintner, Aurel
1955
Mean value theorems and linear operators. Zbl 0064.11904
Hartman, Philip; Wintner, Aurel
1955
On linear, second order differential equations in the unit circle. Zbl 0065.07303
Hartman, Philip; Wintner, Aurel
1955
...and 113 more Documents
all top 5

### Cited by 5,179 Authors

 45 Hartman, Philip 35 Agarwal, Ravi P. 28 Henderson, Johnny Lee 27 Erbe, Lynn Harry 27 Yao, Jen-Chih 21 Peterson, Allan C. 20 Barreira, Luis Manuel 20 Dang Van Hieu 20 Kumam, Poom 20 Valls Anglés, Cláudia 20 Wong, James S. W. 19 Schmitt, Klaus 19 Šimon Hilscher, Roman 18 O’Regan, Donal 18 Özbekler, Abdullah 17 Došlý, Ondřej 17 Li, Deli 17 Rosalsky, Andrew 16 Eloe, Paul W. 16 Papageorgiou, Nikolaos S. 16 Trench, William F. 15 Marini, Mauro 14 Gesztesy, Fritz 14 Šepitka, Peter 14 Tisdell, Christopher C. 13 Giesl, Peter 13 Kiguradze, Ivan Tarielovich 13 Mustafa, Octavian G. 13 Staněk, Svatoslav 13 Zafer, Ağacık 12 Akhmet, Marat Ubaydulla 12 Atkinson, Frederick Valentine 12 Çakmak, Devrim 12 Cecchi, Mariella 12 Kashchenko, Sergeĭ Aleksandrovich 12 Kwong, Man Kam 12 Wei, Zhongli 11 Chen, Shaozhu 11 Diblík, Josef 11 Došlá, Zuzana 11 Džurina, Jozef 11 Huang, Nan-Jing 11 Miyamoto, Yasuhito 11 Naito, Manabu 11 Putnam, Calvin R. 11 Rachůnková, Irena 11 Samet, Bessem 11 Tiryaki, Aydin 11 Xia, Yonghui 10 Aseev, Sergei M. 10 Barton, Paul I. 10 Gálvez, Jose Antonio 10 Gustafson, Grant B. 10 Hallam, Thomas G. 10 Hornung, Peter 10 Kong, Qingkai 10 Lakshmikantham, Vangipuram 10 Mawhin, Jean L. 10 Mirzoev, Karakhan Agakhan 10 Rogovchenko, Yuri V. 10 Simon, Barry 10 Thompson, Harold Bevan 10 Zhao, Yulin 9 Bebernes, Jerrold W. 9 Boccardo, Lucio 9 Browder, Felix Earl 9 Donnelly, Harold 9 Grigoryan, Gevorg Avagovich 9 Jitpeera, Thanyarat 9 Khailov, Evgenii N. 9 Kiguradze, Tariel I. 9 Llibre, Jaume 9 Meng, Fanwei 9 Minguzzi, Ettore 9 Muldowney, James S. 9 Pašić, Mervan 9 Pinto, Manuel 9 Ramos, Juan I. 9 Taras’ev, Aleksandr Mikhaĭlovich 9 Xu, Zhiting 9 Zanolin, Fabio 9 Zettl, Anton 8 Ali, Rehan 8 Coffman, Charles V. 8 Cubiotti, Paolo 8 Dong, Yujun 8 Eastham, Michael S. P. 8 Jackson, Lloyd K. 8 Lutz, Donald A. 8 Parhi, Narahari 8 Samovol, Vladimir Simkhovich 8 Sȩdziwy, Stanisław 8 Slyusarchuk, Vasyl Yukhimovich 8 Sun, Yuangong 8 Swanson, Charles A. 8 Tanaka, Satoshi 8 Wang, Qiru 8 Wintner, Aurel 7 Adamec, Ladislav 7 Alessandrini, Giovanni ...and 5,079 more Authors
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### Cited in 566 Serials

 375 Journal of Mathematical Analysis and Applications 351 Journal of Differential Equations 179 Proceedings of the American Mathematical Society 131 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 130 Transactions of the American Mathematical Society 95 Archive for Rational Mechanics and Analysis 88 Applied Mathematics and Computation 84 Annali di Matematica Pura ed Applicata. Serie Quarta 82 Computers & Mathematics with Applications 80 Mathematische Zeitschrift 79 Nonlinear Analysis. Theory, Methods & Applications 69 Applied Mathematics Letters 64 Mathematical Notes 62 Mathematische Annalen 62 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 56 Journal of Optimization Theory and Applications 51 Journal of Functional Analysis 41 Czechoslovak Mathematical Journal 40 Journal of Mathematical Sciences (New York) 38 Communications in Mathematical Physics 36 Tohoku Mathematical Journal. Second Series 36 Journal of Inequalities and Applications 35 Rocky Mountain Journal of Mathematics 35 Ukrainian Mathematical Journal 35 Journal of Computational and Applied Mathematics 35 Siberian Mathematical Journal 34 Advances in Mathematics 33 Bulletin of the American Mathematical Society 30 Journal of Dynamics and Differential Equations 28 Physica D 28 Journal of Difference Equations and Applications 28 Abstract and Applied Analysis 27 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 26 Bulletin of the Australian Mathematical Society 26 The Journal of Geometric Analysis 26 Calculus of Variations and Partial Differential Equations 25 Applicable Analysis 25 Inventiones Mathematicae 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Stochastic Processes and their Applications 24 Mathematica Slovaca 24 Proceedings of the Steklov Institute of Mathematics 23 Differential Equations 23 Advances in Difference Equations 22 Optimization 21 Communications in Partial Differential Equations 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 20 Archiv der Mathematik 20 Annals of Global Analysis and Geometry 20 Mathematical and Computer Modelling 20 Journal of Global Optimization 19 Journal of Mathematical Physics 19 Journal of Economic Theory 19 Results in Mathematics 19 Systems & Control Letters 19 Statistics & Probability Letters 18 Mathematical Biosciences 18 Integral Equations and Operator Theory 18 Acta Mathematica Sinica. English Series 17 Duke Mathematical Journal 17 Manuscripta Mathematica 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Discrete and Continuous Dynamical Systems 16 Journal of Applied Mathematics and Mechanics 16 Functional Analysis and its Applications 16 Numerische Mathematik 16 Nonlinear Analysis. Real World Applications 16 Discrete and Continuous Dynamical Systems. Series B 15 Journal d’Analyse Mathématique 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Journal of Geometry and Physics 15 Applied Mathematics and Optimization 15 Journal of Soviet Mathematics 15 Qualitative Theory of Dynamical Systems 15 Fixed Point Theory and Applications 15 Boundary Value Problems 14 Chaos, Solitons and Fractals 14 Monatshefte für Mathematik 14 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Linear Algebra and its Applications 14 Mathematical Programming. Series A. Series B 13 Journal of Mathematical Biology 13 Annales de l’Institut Fourier 13 Automatica 13 Ergodic Theory and Dynamical Systems 13 Zeitschrift für Analysis und ihre Anwendungen 13 Aequationes Mathematicae 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Journal of Nonlinear Science 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Journal of Fixed Point Theory and Applications 12 Israel Journal of Mathematics 12 Acta Mathematica 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Journal of Approximation Theory 12 Mathematische Nachrichten 12 Stochastic Analysis and Applications 12 Journal of Applied Mathematics 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 466 more Serials
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### Cited in 59 Fields

 1,945 Ordinary differential equations (34-XX) 890 Partial differential equations (35-XX) 556 Operator theory (47-XX) 512 Dynamical systems and ergodic theory (37-XX) 482 Differential geometry (53-XX) 437 Calculus of variations and optimal control; optimization (49-XX) 274 Probability theory and stochastic processes (60-XX) 246 Global analysis, analysis on manifolds (58-XX) 244 Numerical analysis (65-XX) 207 Difference and functional equations (39-XX) 198 Operations research, mathematical programming (90-XX) 187 Systems theory; control (93-XX) 178 Biology and other natural sciences (92-XX) 167 Fluid mechanics (76-XX) 131 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 110 Real functions (26-XX) 83 Functional analysis (46-XX) 81 Mechanics of particles and systems (70-XX) 81 Mechanics of deformable solids (74-XX) 73 Functions of a complex variable (30-XX) 65 Statistics (62-XX) 64 Manifolds and cell complexes (57-XX) 60 Quantum theory (81-XX) 53 Special functions (33-XX) 52 Several complex variables and analytic spaces (32-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 49 Integral equations (45-XX) 44 Relativity and gravitational theory (83-XX) 42 General topology (54-XX) 42 Computer science (68-XX) 33 Approximations and expansions (41-XX) 33 Statistical mechanics, structure of matter (82-XX) 31 Potential theory (31-XX) 30 Optics, electromagnetic theory (78-XX) 27 Measure and integration (28-XX) 26 Convex and discrete geometry (52-XX) 26 Classical thermodynamics, heat transfer (80-XX) 25 Algebraic geometry (14-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 19 Number theory (11-XX) 17 Information and communication theory, circuits (94-XX) 11 Nonassociative rings and algebras (17-XX) 11 Topological groups, Lie groups (22-XX) 11 Algebraic topology (55-XX) 10 Mathematical logic and foundations (03-XX) 10 Geophysics (86-XX) 9 General and overarching topics; collections (00-XX) 9 History and biography (01-XX) 9 Combinatorics (05-XX) 9 Astronomy and astrophysics (85-XX) 8 Abstract harmonic analysis (43-XX) 7 Integral transforms, operational calculus (44-XX) 6 Group theory and generalizations (20-XX) 6 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX)

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