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1 Introduction In the theory of ordinary differential equations and in particular in the theory of Hamiltonian systems the existence of first integrals is important, because they allow to lower the dimension where the Hamiltonian system is defined. Furthermore, if we know a sufficient number of first integrals, these allow to solve the Hamiltonian system explicitly, and we say that the system is integrable. Almost until the end of the 19th century the major part of mathematicians and physicians believe that the equations of classical mechanics were integrable

{array}{*{20}{l}} {\dot x = {X_2}(x,y),}\\ {\dot y = {Y_2}(x,y),} \end{array} \end{array}$$ (4) called a degenerate center , where X 2 ( x , y ) and Y 2 ( x , y ) are real analytic functions without constant and linear terms, defined in a neighborhood of the origin. 3 About the integrability of the centers The characterization of linear type centers using their first integrals is due to Poincaré [ 22 ] in the case of polynomial differential systems and to Liapunov [ 16 ] in the case of analytic differential systems, see also Moussu [ 20 ]. Linear Type Center Theorem

REFERENCES [1] DIESTEL, J.—UHL, J. J.: Vector Measures , in: Math. Surveys Monogr., Vol. 15, Amer. Math. Soc., Providence, R.I., 1977. [2] LEE, PENG YEE: Lanzhou Lectures on Henstock Integration , in: Ser. Real Anal., Vol. 2, World Sci. Publ. Co., Singapore, 1989. [3] LEE, TUO-YEONG: Henstock-Kurzweil Integration on Euclidean Spaces , in: Ser. Real Anal., Vol. 12, World Sci. Publ. Co., Singapore, 2011. [4] OSTROVSKII, M. I.: Hahn Banach operators , Proc. Amer. Math. Soc. 129 (2001), 2923–2930. [5] DI PIAZZA, L.—MARRAFFA, V.: The Mcshane, PU and Henstock

properties of third order differential equations of neutral type , Tatra Mt. Math. Publ. 38 (2007), 71–76. [9] DOŠLÁ, Z.: On square integrable solutions of third order linear differential equations, in: Proc. of the Inter. Scientific Conf. Math., Herl’any, Slovakia, 1999 (A. Haščák, ed.), Univ. Technology Košice, 2000, pp. 68–72. [10] DOŠLÁ, Z.—LIŠKA, P.: Oscillation of third-order nonlinear neutral differential equations , Appl. Math. Lett. 56 (2016), 42–48. [11] _____ Comparison theorems for third-order neutral differential equations , Electron. J. Differential

Bo Li and Na Ma

References [1] Czesław Byliński. Partial functions. Formalized Mathematics , 1( 2 ):357-367, 1990. [2] Noboru Endou and Artur Korniłowicz. The definition of the Riemann definite integral and some related lemmas. Formalized Mathematics , 8( 1 ):93-102, 1999. [3] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions. Formalized Mathematics , 9( 2 ):281-284, 2001. [4] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics , 1( 1 ):35

Bo Li and Na Ma

References [1] Czesław Byliński. Partial functions. Formalized Mathematics , 1( 2 ):357-367, 1990. [2] Noboru Endou and Artur Korniłowicz. The definition of the Riemann definite integral and some related lemmas. Formalized Mathematics , 8( 1 ):93-102, 1999. [3] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions. Formalized Mathematics , 9( 2 ):281-284, 2001. [4] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics , 1( 1 ):35

References [1] Czesław Byliński. Partial functions. Formalized Mathematics , 1( 2 ):357-367, 1990. [2] Noboru Endou and Artur Korniłowicz. The definition of the Riemann definite integral and some related lemmas. Formalized Mathematics , 8( 1 ):93-102, 1999. [3] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions. Formalized Mathematics , 9( 2 ):281-284, 2001. [4] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics , 1( 1 ):35

Abstract

The aim of this study is to identify the typical psychological, demographic, socio-economical, educational, health, and criminological characteristics of juvenile delinquents who tend to continue in their criminal career to adulthood and therefore obstruct the possibility of successful, non-offending integration to society. Subjects of research were young male prisoners jailed in the Juvenile imprisonment house that completed the test battery. By ex-post analysis after a period of five years, the differences between offenders and non-offenders were identified. Results show significant differences in the age of prisoners, length of imprisonment, presence of violent offence (esp. robbery) in the criminal history, number of previous offences recorded, differences in factors i, h, and q1 from the Sixteen Personality Factor Questionnaire, responses within the Hand test characteristic (affection, dependence, and communication), and in several signs of the drawings in a Draw-A-Person test. The importance and influence of listed factors is discussed.

References [1] BIRKHOFF, G.: Integration of functions with values in a Banach Space , Trans. Amer. Math. Soc. 38 (1935), no. 2, 357-378, [2] BALCERZAK, M.-POTYRALA, M.: Convergence theorems for the Birkhoff integral , Czechoslovak Math. J. 58 (2008), no. 4, 1207-1219. [3] DUNFORD, N.- SCHWARTZ, J. T.: Linear Operators I. Interscience Publishers, New York, London, 1964. [4] DIESTEL, J.- UHL. J. J., JR.: Vector Measures . Math. Surveys Vol. 15. AMS, Providence, RI, 1977. [5] KOMURA, Y.: Some examples on linear topological spaces , Math. Ann. 153 (1964

References 1. MISCHE M. A. 2002. In: Enterprise Systems Integration. Boca Raton: CRC Press. ISBN 0-8493-1149-7 2. PECI M., VAZAN P., NEMLAHA E. 2013. The levels of systems integration. In: Vol. 373-375: International Conference on Mechatronics, Robotics and Automation (ICMRA 2013). China, Guangzhou, pp. 1949-1953. 3. SAPORITO P. 2006. Data Integration Alternative & Best Practices. Retrieved from http://www.casact.org/education/ratesem/2006/handouts/Saporito.pdf 4. DYCHÉ J., E. LEVY, 2006. Customer Data Integration: Reaching a Single Version of the Truth. John