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## Leighton, Walter jun.

Compute Distance To:
 Author ID: leighton.walter-jun Published as: Leighton, W.; Leighton, Walter; Leighton, Walter jun.; Leighton, W. jun.; Leighton, W
 Documents Indexed: 86 Publications since 1932, including 5 Books
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#### Co-Authors

 61 single-authored 4 Thron, Wolfgang Joseph 3 Jordan, John Q. 3 Morse, Marston 3 Wall, Hubert Stanley 2 Ke, William Oo Kian 2 Scott, Walter T. 1 Anderson, Larry R. 1 Bankier, J. D. 1 Bhatia, Nam Parshad 1 Cowling, V. F. 1 Glass, T. F. 1 Lazer, Alan C. 1 Martin, Allan D. 1 Nehari, Zeev 1 Skidmore, A. S. 1 Skidmore, Alexandra
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#### Serials

 15 Bulletin of the American Mathematical Society 7 Proceedings of the National Academy of Sciences of the United States of America 6 Journal of Mathematical Analysis and Applications 6 Duke Mathematical Journal 6 Transactions of the American Mathematical Society 5 American Mathematical Monthly 5 Proceedings of the American Mathematical Society 4 Annali di Matematica Pura ed Applicata. Serie Quarta 3 American Journal of Mathematics 3 Annals of Mathematics. Second Series 2 Journal d’Analyse Mathématique 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applicable Analysis 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics Magazine 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal of the London Mathematical Society 1 Rendiconti di Matematica, VI. Serie

#### Fields

 23 Ordinary differential equations (34-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

52 Publications have been cited 477 times in 395 Documents Cited by Year
On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Zbl 0084.08104
Leighton, Walter; Nehari, Zeev
1959
On self-adjoint differential equations of second order. Zbl 0048.06503
Leighton, Walter
1952
Comparison theorems for linear differential equations of second order. Zbl 0118.08202
Leighton, W.
1962
The detection of the oscillation of solutions of a second order linear differential equation. Zbl 0036.06101
Leighton, Walter
1950
On the differential equation $$y''+p(x)y=f(x)$$. Zbl 0287.34031
Skidmore, Alexandra; Leighton, Walter
1973
A general continued fraction expansion. Zbl 0021.33004
Leighton, Walter; Scott, W. T.
1939
Morse, Marston; Leighton, Walter
1936
Morse, M.; Leighton, W.
1936
Some elementary Sturm theory. Zbl 0157.14103
Leighton, W.
1968
On the construction of Liapunov functions for certain autonomous nonlinear differential equations. Zbl 0132.32202
Leighton, W.
1963
Leighton, Walter
1949
Continued fractions with complex elements. Zbl 0060.16403
Leighton, W.; Thron, W. J.
1942
Hill’s equation revisited. Zbl 0594.34030
Leighton, Walter
1986
On the zeros of solutions of a second-order linear differential equation. Zbl 0128.30803
Leighton, W.
1965
Ordinary differential equations. 2nd ed. Zbl 0145.10101
Leighton, W.
1966
Upper and lower bounds for eigenvalues. Zbl 0191.38501
Leighton, W.
1971
Bounds for the solutions of a second-order linear differential equation. Zbl 0032.34701
Leighton, Walter
1949
Quadratic functionals with a singular end point. Zbl 0064.35401
Leighton, Walter; Martin, Allan D.
1955
Quadratic functionals of second order. Zbl 0199.43101
Leighton, W.
1970
On Liapunov’s inequality. Zbl 0218.34033
Leighton, W.
1972
On the transformation and convergence of continued fractions. Zbl 0014.20804
Leighton, Walter; Wall, H. S.
1936
A substitute for the Picone formula. Zbl 0032.34702
Leighton, Walter
1949
On value regions of continued fractions. Zbl 0060.16405
Leighton, W.; Thron, W. J.
1942
An introduction to the theory of ordinary differential equations. Zbl 0415.34003
Leighton, Walter
1976
On approximating conjugate, focal, and $$\sigma$$-points for linear differential equations of second order. Zbl 0342.65035
Leighton, Walter
1976
Ordinary differential equations. 3rd printing. Zbl 0121.30704
Leighton, Walter
1964
Application of the Poincaré-Bendixson theorem. Zbl 0144.22403
Bhatia, N. P.; Lazer, A. C.; Leighton, W.
1966
On the oscillation of solutions of a second-order linear differential equation. Zbl 0161.27802
Skidmore, A. S.; Leighton, W.
1965
Liapunov functions for autonomous systems of second order. Zbl 0186.41602
Anderson, Larry R.; Leighton, Walter
1968
The conjugacy function. Zbl 0191.38204
Leighton, W.
1970
A comparison theorem. Zbl 0224.34029
Leighton, Walter; Kian Ke, William Oo
1971
Leighton, Walter
1949
Numerical continued fractions. Zbl 0060.16307
Bankier, J. D.; Leighton, W.
1942
Twin convergence regions for continued fractions. Zbl 0060.16401
Cowling, V. F.; Leighton, W.; Thron, W. J.
1944
Morse theory and Liapunov functions. Zbl 0125.32603
Leighton, W.
1964
Behavior of solutions of a linear differential equation of second order. Zbl 0133.34102
Leighton, W.
1964
Bounds for conjugate points. Zbl 0208.11001
Leighton, W.
1971
Sufficient conditions for the convergence of a continued fraction. Zbl 0020.21101
Leighton, Walter
1938
Proper continued fractions. Zbl 0023.20803
Leighton, Walter
1940
On the transformation and convergence of continued fractions. JFM 62.0209.02
Leighton, W.; Wall, H. S.
1936
On convergence of continued fractions. JFM 62.0227.02
Jordan, J. Q.; Leighton, W.
1936
Some comparison theorem for conjugate and $$\sigma$$-points. Zbl 0339.34035
Leighton, Walter
1976
Some oscillation theory. Zbl 0534.34035
Leighton, W.
1983
On Liapunov functions with a single critical point. Zbl 0148.06804
Leighton, W.
1966
Determining bounds for the first conjugate point. Zbl 0206.37302
Leighton, W.; Ke, W. O. K.
1970
On Liapunov’s inequality. Zbl 0234.34037
Leighton, Walter
1972
More elementary Sturm theory. Zbl 0278.34024
Leighton, Walter
1973
Computing bounds for focal points and for $$\sigma$$-points for second-order linear differential equations. Zbl 0317.34023
Leighton, Walter
1972
A test-ratio test for continued fractions. Zbl 0020.21102
Leighton, Walter
1939
On selfadjoint differential equations of second order. Zbl 0034.35401
Leighton, Walter
1949
On the convergence of continued fractions to meromorphic functions. Zbl 0060.16404
Leighton, W.; Thron, W. J.
1943
On the differential equation $$xy''- (x+n)y'+ ny = 0$$. Zbl 0172.10802
Leighton, W.
1969
Hill’s equation revisited. Zbl 0594.34030
Leighton, Walter
1986
Some oscillation theory. Zbl 0534.34035
Leighton, W.
1983
An introduction to the theory of ordinary differential equations. Zbl 0415.34003
Leighton, Walter
1976
On approximating conjugate, focal, and $$\sigma$$-points for linear differential equations of second order. Zbl 0342.65035
Leighton, Walter
1976
Some comparison theorem for conjugate and $$\sigma$$-points. Zbl 0339.34035
Leighton, Walter
1976
On the differential equation $$y''+p(x)y=f(x)$$. Zbl 0287.34031
Skidmore, Alexandra; Leighton, Walter
1973
More elementary Sturm theory. Zbl 0278.34024
Leighton, Walter
1973
On Liapunov’s inequality. Zbl 0218.34033
Leighton, W.
1972
On Liapunov’s inequality. Zbl 0234.34037
Leighton, Walter
1972
Computing bounds for focal points and for $$\sigma$$-points for second-order linear differential equations. Zbl 0317.34023
Leighton, Walter
1972
Upper and lower bounds for eigenvalues. Zbl 0191.38501
Leighton, W.
1971
A comparison theorem. Zbl 0224.34029
Leighton, Walter; Kian Ke, William Oo
1971
Bounds for conjugate points. Zbl 0208.11001
Leighton, W.
1971
Quadratic functionals of second order. Zbl 0199.43101
Leighton, W.
1970
The conjugacy function. Zbl 0191.38204
Leighton, W.
1970
Determining bounds for the first conjugate point. Zbl 0206.37302
Leighton, W.; Ke, W. O. K.
1970
On the differential equation $$xy''- (x+n)y'+ ny = 0$$. Zbl 0172.10802
Leighton, W.
1969
Some elementary Sturm theory. Zbl 0157.14103
Leighton, W.
1968
Liapunov functions for autonomous systems of second order. Zbl 0186.41602
Anderson, Larry R.; Leighton, Walter
1968
Ordinary differential equations. 2nd ed. Zbl 0145.10101
Leighton, W.
1966
Application of the Poincaré-Bendixson theorem. Zbl 0144.22403
Bhatia, N. P.; Lazer, A. C.; Leighton, W.
1966
On Liapunov functions with a single critical point. Zbl 0148.06804
Leighton, W.
1966
On the zeros of solutions of a second-order linear differential equation. Zbl 0128.30803
Leighton, W.
1965
On the oscillation of solutions of a second-order linear differential equation. Zbl 0161.27802
Skidmore, A. S.; Leighton, W.
1965
Ordinary differential equations. 3rd printing. Zbl 0121.30704
Leighton, Walter
1964
Morse theory and Liapunov functions. Zbl 0125.32603
Leighton, W.
1964
Behavior of solutions of a linear differential equation of second order. Zbl 0133.34102
Leighton, W.
1964
On the construction of Liapunov functions for certain autonomous nonlinear differential equations. Zbl 0132.32202
Leighton, W.
1963
Comparison theorems for linear differential equations of second order. Zbl 0118.08202
Leighton, W.
1962
On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Zbl 0084.08104
Leighton, Walter; Nehari, Zeev
1959
Quadratic functionals with a singular end point. Zbl 0064.35401
Leighton, Walter; Martin, Allan D.
1955
On self-adjoint differential equations of second order. Zbl 0048.06503
Leighton, Walter
1952
The detection of the oscillation of solutions of a second order linear differential equation. Zbl 0036.06101
Leighton, Walter
1950
Leighton, Walter
1949
Bounds for the solutions of a second-order linear differential equation. Zbl 0032.34701
Leighton, Walter
1949
A substitute for the Picone formula. Zbl 0032.34702
Leighton, Walter
1949
Leighton, Walter
1949
On selfadjoint differential equations of second order. Zbl 0034.35401
Leighton, Walter
1949
Twin convergence regions for continued fractions. Zbl 0060.16401
Cowling, V. F.; Leighton, W.; Thron, W. J.
1944
On the convergence of continued fractions to meromorphic functions. Zbl 0060.16404
Leighton, W.; Thron, W. J.
1943
Continued fractions with complex elements. Zbl 0060.16403
Leighton, W.; Thron, W. J.
1942
On value regions of continued fractions. Zbl 0060.16405
Leighton, W.; Thron, W. J.
1942
Numerical continued fractions. Zbl 0060.16307
Bankier, J. D.; Leighton, W.
1942
Proper continued fractions. Zbl 0023.20803
Leighton, Walter
1940
A general continued fraction expansion. Zbl 0021.33004
Leighton, Walter; Scott, W. T.
1939
A test-ratio test for continued fractions. Zbl 0020.21102
Leighton, Walter
1939
Sufficient conditions for the convergence of a continued fraction. Zbl 0020.21101
Leighton, Walter
1938
Morse, Marston; Leighton, Walter
1936
Morse, M.; Leighton, W.
1936
On the transformation and convergence of continued fractions. Zbl 0014.20804
Leighton, Walter; Wall, H. S.
1936
On the transformation and convergence of continued fractions. JFM 62.0209.02
Leighton, W.; Wall, H. S.
1936
On convergence of continued fractions. JFM 62.0227.02
Jordan, J. Q.; Leighton, W.
1936
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#### Cited by 336 Authors

 19 Leighton, Walter jun. 9 Meng, Fanwei 9 Nehari, Zeev 9 Thron, Wolfgang Joseph 9 Wong, James S. W. 8 Özbekler, Abdullah 7 Erbe, Lynn Harry 6 Cheng, Sui Sun 6 Headley, Velmer B. 6 Regenda, Ján 6 Sugie, Jitsuro 6 Sun, Yuangong 6 Swanson, Charles A. 6 Zafer, Ağacık 6 Zheng, Zhaowen 5 Agarwal, Ravi P. 5 Kreith, Kurt 5 Peterson, Allan C. 5 Ridenhour, Jerry R. 5 Xu, Zhiting 5 Yeh, Cheh-Chih 4 Ben Amara, Jamel 4 Elias, Uri 4 Hartman, Philip 4 Ishibashi, Kazuki 4 Johnson, George W. 4 Jones, William Branham 4 Li, Wan-Tong 4 Vladimirov, Anton A. 4 Yang, Xiaojing 3 Abramovich, Shoshana 3 Ahlbrandt, Calvin D. 3 Bidaut-Veron, Marie-Françoise 3 Etgen, Garret J. 3 Gesztesy, Fritz 3 Gustafson, Grant B. 3 Hassan, Taher S. 3 Hayden, Thomas L. 3 Herold, Horst 3 Knopfmacher, Arnold 3 Knopfmacher, John 3 Lazer, Alan C. 3 Lewis, Roger T. 3 Lo, Kueiming 3 Palumbíny, Oleg 3 Parhi, Narahari 3 Reid, William T. 3 Saker, Samir H. 3 Teschl, Gerald 3 Tiryaki, Aydin 2 Abdel Karim, Rahmi Ibrahim Ibrahim 2 Aliyev, Ziyatkhan S. 2 Anderson, Larry R. 2 Baltus, Christopher 2 Banks, D. O. 2 Barrett, John H. 2 Bouzidi, Hedi 2 Bresquar, Anna Maria 2 Çakmak, Devrim 2 Coles, William J. 2 Craviotto, Cathleen M. 2 Crawford, Forrest W. 2 Das, Kaustuv Mukul 2 Day, William B. 2 Diaz, Joaquin Basilio 2 Eliason, Stanley B. 2 Eloff, C. L. 2 García-Huidobro, Marta 2 Graef, John R. 2 Hinton, Don Barker 2 Howard, Henry Cobourn 2 Huang, Yan 2 Ke, William Oo Kian 2 Kim, Yong-In 2 Kratz, Werner 2 Krüger, Helge 2 Kupeli, Demir N. 2 Lee, Chung-Fen 2 Li, Horng-Jaan 2 Liu, Xiuxiang 2 Man Kam Kwong 2 Martin, Allan D. 2 McLaughlin, Joyce Rogers 2 Merkes, Edward P. 2 Moore, Richard A. 2 Müller-Pfeiffer, Erich 2 Noussair, Ezzat S. 2 Oganesyan, Gro R. 2 Onose, Hiroshi 2 O’Regan, Donal 2 Rankin, Samuel Murray III 2 Rovder, Jozef 2 Scott, Walter T. 2 Shen, Jianhua 2 Skidmore, Alexandra 2 Staněk, Svatoslav 2 Stein, Junior 2 Suchard, Marc A. 2 Sun, Shurong 2 Tefteller, Steve C. ...and 236 more Authors
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#### Cited in 92 Serials

 78 Journal of Mathematical Analysis and Applications 39 Proceedings of the American Mathematical Society 34 Journal of Differential Equations 19 Applied Mathematics and Computation 17 Transactions of the American Mathematical Society 14 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Czechoslovak Mathematical Journal 10 Applied Mathematics Letters 9 Computers & Mathematics with Applications 9 Journal of Computational and Applied Mathematics 7 Mathematische Zeitschrift 6 Applicable Analysis 6 Journal d’Analyse Mathématique 6 Mathematica Slovaca 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Advances in Difference Equations 6 Bulletin of the American Mathematical Society 5 Mathematical Notes 5 Mathematische Annalen 4 Mathematical and Computer Modelling 4 Journal of Mathematical Sciences (New York) 4 Nonlinear Analysis. Theory, Methods & Applications 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 Advances in Mathematics 3 Monatshefte für Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Abstract and Applied Analysis 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Biology 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Approximation Theory 2 Numerische Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Central European Journal of Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Astrophysics and Space Science 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Systems Science 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Soviet Applied Mechanics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 St. Petersburg Mathematical Journal 1 Filomat 1 Discrete and Continuous Dynamical Systems 1 The Ramanujan Journal 1 Nonlinear Dynamics 1 Positivity 1 Discrete Dynamics in Nature and Society 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Computational Methods and Function Theory 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 Proceedings of the Japan Academy 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Journal of Biological Dynamics 1 Complex Analysis and Operator Theory 1 Differential Equations and Applications 1 Journal of Geometric Mechanics 1 Eurasian Mathematical Journal 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Carpathian Mathematical Publications
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#### Cited in 32 Fields

 257 Ordinary differential equations (34-XX) 21 Partial differential equations (35-XX) 15 Numerical analysis (65-XX) 14 Functions of a complex variable (30-XX) 13 Sequences, series, summability (40-XX) 11 Approximations and expansions (41-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 7 Difference and functional equations (39-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Differential geometry (53-XX) 7 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Number theory (11-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)