A new look at an old comparison theorem
Archivum Mathematicum (2021)
- Volume: 057, Issue: 3, page 151-156
- ISSN: 0044-8753
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topJaroš, Jaroslav. "A new look at an old comparison theorem." Archivum Mathematicum 057.3 (2021): 151-156. <http://eudml.org/doc/297675>.
@article{Jaroš2021,
abstract = {We present an integral comparison theorem which guarantees the global existence of a solution of the generalized Riccati equation on the given interval $[a,b)$ when it is known that certain majorant Riccati equation has a global solution on $[a,b)$.},
author = {Jaroš, Jaroslav},
journal = {Archivum Mathematicum},
keywords = {generalized Riccati differential equation; global solutions},
language = {eng},
number = {3},
pages = {151-156},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A new look at an old comparison theorem},
url = {http://eudml.org/doc/297675},
volume = {057},
year = {2021},
}
TY - JOUR
AU - Jaroš, Jaroslav
TI - A new look at an old comparison theorem
JO - Archivum Mathematicum
PY - 2021
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 057
IS - 3
SP - 151
EP - 156
AB - We present an integral comparison theorem which guarantees the global existence of a solution of the generalized Riccati equation on the given interval $[a,b)$ when it is known that certain majorant Riccati equation has a global solution on $[a,b)$.
LA - eng
KW - generalized Riccati differential equation; global solutions
UR - http://eudml.org/doc/297675
ER -
References
top- Došlý, O., Řehák, P., Half-linear differential equations, North-Holland, Elsevier, Amsterdam, 2005. (2005) Zbl1090.34001MR2158903
- Erbe, L., 10.4153/CMB-1982-012-8, Canad. Math. Bull. 25 (1982), 82–97. (1982) MR0657656DOI10.4153/CMB-1982-012-8
- Hasil, P., Conditional oscillation of half-linear differential equations with periodic coefficients, Arch. Math. (Brno) 44 (2008), 119–131. (2008) MR2432849
- Hasil, P., Veselý, M., 10.1515/math-2018-0047, Open Math. 16 (1) (2018), 507–521. (2018) MR3800645DOI10.1515/math-2018-0047
- Jaroš, J., Kusano, T., Tanigawa, T., Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach, EJQTDE 92 (2018), 1–28. (2018) MR3884523
- Mirzov, J.D., Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations, Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 14 (2004), 175 pp. (2004) Zbl1154.34300MR2144761
- Stafford, R.A., Heidel, J.W., 10.1090/S0002-9904-1974-13588-3, Bull. Amer. Math. Soc. 80 (1974), 754–757. (1974) MR0342771DOI10.1090/S0002-9904-1974-13588-3
- Travis, C.C., 10.1090/S0002-9939-1975-0377188-X, Proc. Amer. Math. Soc. 52 (1975), 311–314. (1975) MR0377188DOI10.1090/S0002-9939-1975-0377188-X
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