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Contemporary Mathematics. Fundamental Directions, 2006, Volume 15, Pages 29–35 (Mi cmfd37)  
This article is cited in 8 scientific papers (total in 8 papers)

Blow-up Solutions of Quadratic Differential Systems

J. Baris, P. Baris, B. Ruchlewicz

University of Warmia and Mazury in Olsztyn
Full-text PDF (160 kB) Citations (8)
References:
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Abstract: The main aim of this paper is to investigate the existence problem for blow-up solutions of quadratic differential systems, Riccati equations, and Lotka–Volterra systems. For this purpose, we introduce the concept of negative and positive blow-up times of solutions of the above-mentioned systems and provide upper or lower bounds for these times.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 4, Pages 1369–1375
DOI: https://doi.org/10.1007/s10958-008-0070-8
Bibliographic databases:
UDC: 517.911+517.923+517.925
Language: Russian
Citation: J. Baris, P. Baris, B. Ruchlewicz, “Blow-up Solutions of Quadratic Differential Systems”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, CMFD, 15, PFUR, M., 2006, 29–35; Journal of Mathematical Sciences, 149:4 (2008), 1369–1375
Citation in format AMSBIB
\Bibitem{BarBarRuc06}
\by J.~Baris, P.~Baris, B.~Ruchlewicz
\paper Blow-up Solutions of Quadratic Differential Systems
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~1
\serial CMFD
\yr 2006
\vol 15
\pages 29--35
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd37}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336426}
\zmath{https://zbmath.org/?q=an:1139.34307}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 4
\pages 1369--1375
\crossref{https://doi.org/10.1007/s10958-008-0070-8}
Linking options:
  • https://www.mathnet.ru/eng/cmfd37
  • https://www.mathnet.ru/eng/cmfd/v15/p29
    • This publication is cited in the following 8 articles:
    1. ARTUR SEPP, PARVIZ RAKHMONOV, “LOG-NORMAL STOCHASTIC VOLATILITY MODEL WITH QUADRATIC DRIFT”, Int. J. Theor. Appl. Finan., 26:08 (2023)  crossref
    2. Andrei D. Polyanin, Inna K. Shingareva, “Non-linear blow-up problems for systems of ODEs and PDEs: Non-local transformations, numerical and exact solutions”, International Journal of Non-Linear Mechanics, 111 (2019), 28  crossref
    3. Andrei D. Polyanin, Inna K. Shingareva, “Non-linear problems with non-monotonic blow-up solutions: Non-local transformations, test problems, exact solutions, and numerical integration”, International Journal of Non-Linear Mechanics, 99 (2018), 258  crossref
    4. Andrei D. Polyanin, Inna K. Shingareva, “Nonlinear problems with blow-up solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints”, Applied Mathematics and Computation, 336 (2018), 107  crossref
    5. A D Polyanin, I K Shingareva, “The method of non-local transformations: Applications to blow-up problems”, J. Phys.: Conf. Ser., 937 (2017), 012042  crossref
    6. Ellina Grigorieva, Evgenii Khailov, “Optimal Intervention Strategies for a SEIR Control Model of Ebola Epidemics”, Mathematics, 3:4 (2015), 961  crossref
    7. Artur Sepp, “Affine Approximation for Moment Generating Function of Log-Normal Stochastic Volatility Model”, SSRN Journal, 2014  crossref
    8. E. N. Khailov, E. V. Grigoreva, “O prodolzhimosti reshenii neavtonomnykh kvadratichnykh differentsialnykh sistem”, Tr. IMM UrO RAN, 19, no. 4, 2013, 279–288  mathnet  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
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