ADVANCES IN NONLINEAR SCIENCES
UDC 530.182(082): 51-73:53(082) ISBN 86-905633-0-X, COBISS.SR-ID 115467020
Monograph, edited by V. A. Vujicic, Academy of Nonlinear Sciences, Vol. 1, p. 259.

Serbian National Library classification of this monograph contain the following key words: Mathematical Physics and Nonlinear Theories.
Introductory part of the monograph contain the chapter dedicated to the establishment of the Yugoslav branch of nonlinear sciences and Vladimir Mefodievich Matrosov, president of International Academy of Nonlinear Sciences – Moscow.
For beginning some words dedicated to the establishment of the Yugoslav branch of nonlinear sciences.
The name of Vladimir Mefodievich Matrosov cannot be exempted from the key words of the title of this book. He is founder and president of the international Academy of Nonlinear Sciences (ANS), and he is also initiator for the establishment of the Yugoslavian Branch of the Academy of Nonlinear Sciences. Veljko A. Vujicic and Katica (Stevanovic) Hedrih was participants in the work of the International Conference on Stability, Control and Rigid Bodies Dynamics (2-6, September, 1996, Donetsk, Ukraine) with invited lectures. During this Conference  academician V. M. Matrosov, president of ANS Moscow, known the participants with the structure of the ANS, and with the procedure for the election of its members. He also invited scientists to present on the founding assembly of the Ukrainian Branch of ANS. This act put in motion the idea of establishing Yugoslavian Branch of ANS. After returning to Belgrade Veljko A. Vujicic filled a form of application to become a member of ANS, prescribed by the statute of ANS, and enclosed the data concerned with his scientific achievements and his work on building the scientific youth in the country, together with the recommendation letters of two ANS academicians (V. V. Rumyantsev and F. Chernousko), and sent it to Moscow. On a meeting of the Presidential Board of ANS held on October 22, 1996, D35, Prof. Veljko Vujicic  elected the member of ANS.
On a Symposium December 20, 1996 organized on the occasion of 50 years of the Mathematical Institute of Serbian Academy of Sciences and Arts, Vladimir M. Matrosov delivered a lecture under the title `Methods of nonlinear dynamical analysis and their trends". After the lecture he was talking about the ANS and used this opportunity to provide the membership diploma to the academician of ANS Prof. Veljko A. Vujicic. Academician V. V. Rumyantsev was also guest of the Mathematical Institute. After the lecture academicians Vladimir M. Matrosov and V. V. Rumyantsev invited Katica (Stevanovic) Hedrih to initiate the procedure of her election of member of ANS.
The Presidential Board of ANS elected two new members of ANS Miomir Vukobratovic, the member of Serbian Academy of Sciences and Arts and the foreign member of Russian Academy of Science, and Katica (Stevanovic) Hedrih, the member of Ukrainian Higher Schools and Universities Academy of Sciences (May 13, 1997, D53 and D54).
In a new procedure two new members were elected: Vladan Djordjevic, the member of Serbian Academy of Sciences and Arts, and Ranislav Bulatovic, the member of Montenegrinian Academy of Sciences and Arts (October 22, 1997, D84 and D85).
On May 20, 1998 Vladimir M. Matrosov delivered a notable lecture in the Department of Mechanics of the Mathematical Institute of Serbian Academy of Sciences and Arts under the title ``Method of Lyapunov functions at the end of the century". After the lecture the aforementioned members of ANS, together with the President of ANS, Vladimir M. Matrosov participated in a meeting on which (a) the decision about the establishment of the Yugoslavian Branch of ANS was drawn, (b) the Statute of the Branch was accepted, and (c) the President of the Branch - Veljko Vujicic was elected, becoming the representative of the Yugoslavian Branch of ANS.
Soon after that Presidential Board of ANS confirmed the decision concerned with the establishment of the Yugoslavian Branch.
In agreement with the Statute of ANS and with the Statute of its Yugoslavian Branch, the following new members were unanimously proposed, and elected: corresponding member of European Academy of Sciences, Arts and Literature, Viktor Saljnikov (November 15,1999, D126), scientific adviser  and director of the Astronomical Observatory in Belgrade, Dr. Milan Dimitrijevic (January 9, 2001, D151), member of the Serbian Academy of Sciences and Arts, Vojislav Maric (January 9, 2001, D153),  professor of the University in Kragujevac, Milos Kojic (January 9, 2001, D152) and professor of the University in Valenciennes, Radomir Askovic (June 19,2001, D160).

Monograph contain ten papers in area of nonlinear sciences as scientific contribution by members  ANS.


THE ROLE OF DIFFERENTIAL INEQUALITIES IN A WIDE RANGE OF NONLINEAR PROBLEMS ,
is written by V. Lakshmikantham, president of IFNA (International Federation of Nonlinear Analysts), Head of Dept. of Mathematical Sciences, Florida Institute of Technology, Dept. of Mathematical Sciences, Melbourne, Organizer/WCNA, Chairman.

A CONTRIBUTION TO NONLINEAR MECHANICS  written by Veljko A. Vujicic.

EFFECT OF THE VISCOSITY ON THE TRANSIENT HEAT TRANSFER TO AN IMPULSIVELY STARTING DROPLET  written by Radomir V. Aškovic.

ON THE HAMILTON-JACOBI EQUATIONOF NATURAL SYSTEMS  written by Ranislav Bulatovic.

INFLUENCE OF ASTROPHYSICAL PLASMA ON SPECTRAL LINESHAPES  written by Milan S. Dimitrijevic.

STABILITY OF LAMINAR FLOWS AND TRANSITION TO TURBULENCE  written by Vladan Djordjevic.

CONTRIBUTION TO THE COUPLED ROTOR NONLINEAR DYNAMICS  written by Katica (Stevanovic) Hedrih.

THE GOVERNING PARAMETER METHOD AS A GENERAL PROCEDURE FOR STRESS INTEGRATION OF INELASTIC CONSTITUTIVE RELATIONS WITHIN INCREMENTAL NONLINEAR ANALYSIS  written by Milos Kojic.

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATION OF THE FIRST ORDER  written by Vojislav Maric. Dedicated to the memory of J. Karamata.

THE THEORY OF THE BOUNDARY LAYER AND THE GENERALIZED SIMILARITY METHOD IN THE LIGHT OF THE CONTEMPORARY TENDENCIES IN FLUID MECHANICS  written by Viktor  N. Saljnikov.