**American Mathematical Society Translations - Series 2**

1961;
382 pp;
Hardcover

MSC: Primary 30;

**Print ISBN: 978-0-8218-1718-6
Product Code: TRANS2/18**

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MAA Member Price: $51.30

**Electronic ISBN: 978-1-4704-3229-4
Product Code: TRANS2/18.E**

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# Twenty Papers on Analytic Functions and Ordinary Differential Equations

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*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; N. N. Vinogradov*

# Table of Contents

## Twenty Papers on Analytic Functions and Ordinary Differential Equations

- Cover Cover11
- Title page i2
- Copyright page ii3
- Contents iii4
- On a variational method in the theory of analytic functions 16
- On typically real functions of order 𝑝 1520
- The method of variations in the theory of 𝑝-valent functions 3742
- An example of an entire function of finite order with a non-asymptotic defective value 4550
- Certain questions in the spectral theory of self-adjoint differential operators 4954
- Trace formulas for Sturm-Liouville differential operators 8186
- Characterization of compound singular points of a system of two differential equations by means of rough singular points of closely related systems 117122
- On the existence of a limiting regime of a certain non-linear system of ordinary differential equations 151156
- Some theorems on limit cycles for the equation of Liénard 163168
- Behavior of the integral curves of a system of differential equations near a singular point in a space of more than one dimension 173178
- On periodic solutions of differential equations with a small parameter 187192
- Asymptotic calculation of periodic solutions of systems of differential equations containing small parameters in the derivatives 199204
- Methods for solving questions of stability in the large 231236
- The asymptotic stability in the large of the trivial solution of a dynamical system of two differential equations 243248
- Questions of stability in the large and regulating properties for a certain system of differential equations. I 257262
- On stability with large initial perturbations 275280
- Some theorems on boundedness of solutions of ordinary differential equations 289294
- Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives 295300
- Optimal regulation processes 321326
- The theory of optimal processes. I. The maximum principle 341346
- Back Cover Back Cover1388