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Twenty Papers on Analytic Functions and Ordinary Differential Equations

About this Title

V. G. Boltyanskiĭ, B. P. Demidovič, L. A. Dikiĭ, N. P. Erugin, R. V. Gamkrelidze, S. A. Gel′fer, A. A. Gol′dberg, G. M. Goluzin, N. A. Gubar′, M. G. Hudaĭ-Verenov, Yu. A. Klokov, N. N. Krasovskiĭ, B. M. Levitan, E. F. Miščenko, L. S. Pontryagin, L. È. Reĭzin′, Yu. A. Ryabov, B. N. Skačkov and N. N. Vinogradov

Publication: American Mathematical Society Translations: Series 2
Publication Year: 1961; Volume 18
ISBNs: 978-0-8218-1718-6 (print); 978-1-4704-3229-4 (online)
DOI: https://doi.org/10.1090/trans2/018

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Table of Contents

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Front/Back Matter

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Articles

• G. M. Goluzin – On a variational method in the theory of analytic functions
• S. A. Gel′fer – On typically real functions of order $p$
• S. A. Gel′fer – The method of variations in the theory of $p$-valent functions
• A. A. Gol′dberg – An example of an entire function of finite order with a non-asymptotic defective value
• B. M. Levitan – Certain questions in the spectral theory of self-adjoint differential operators
• L. A. Dikiĭ – Trace formulas for Sturm-Liouville differential operators
• N. A. Gubar′ – Characterization of compound singular points of a system of two differential equations by means of rough singular points of closely related systems
• B. P. Demidovič – On the existence of a limiting regime of a certain non-linear system of ordinary differential equations
• M. G. Hudaĭ-Verenov – Some theorems on limit cycles for the equation of Liénard
• L. È. Reĭzin′ – Behavior of the integral curves of a system of differential equations near a singular point in a space of more than one dimension
• Yu. A. Ryabov – On periodic solutions of differential equations with a small parameter
• E. F. Miščenko – Asymptotic calculation of periodic solutions of systems of differential equations containing small parameters in the derivatives
• N. P. Erugin – Methods for solving questions of stability in the large
• N. N. Vinogradov – The asymptotic stability in the large of the trivial solution of a dynamical system of two differential equations
• B. N. Skačkov – Questions of stability in the large and regulating properties for a certain system of differential equations. I
• N. N. Krasovskiĭ – On stability with large initial perturbations
• Yu. A. Klokov – Some theorems on boundedness of solutions of ordinary differential equations
• L. S. Pontryagin – Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives
• L. S. Pontryagin – Optimal regulation processes
• V. G. Boltyanskiĭ, R. V. Gamkrelidze and L. S. Pontryagin – The theory of optimal processes. I. The maximum principle