The asymptotic properties of solutions of differential system of the form g i ( x ) y i ' = u i ( y i ) + f i ( x , y 1 , ⋯ , y n ) , i = 1 , 2 , ⋯ , n in some neighbourhood of a singular point

Miroslava Růžičková

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1993)

  • Volume: 32, Issue: 1, page 151-158
  • ISSN: 0231-9721

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Růžičková, Miroslava. "The asymptotic properties of solutions of differential system of the form $g_i(x)y^{\prime }_i=u_i(y_i)+f_i(x,y_1,\cdots , y_n)$, $i=1,2,\cdots , n$ in some neighbourhood of a singular point." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 32.1 (1993): 151-158. <http://eudml.org/doc/23569>.

@article{Růžičková1993,
author = {Růžičková, Miroslava},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Waźewski retract method; existence of a solution entering the singular point},
language = {eng},
number = {1},
pages = {151-158},
publisher = {Palacký University Olomouc},
title = {The asymptotic properties of solutions of differential system of the form $g_i(x)y^\{\prime \}_i=u_i(y_i)+f_i(x,y_1,\cdots , y_n)$, $i=1,2,\cdots , n$ in some neighbourhood of a singular point},
url = {http://eudml.org/doc/23569},
volume = {32},
year = {1993},
}

TY - JOUR
AU - Růžičková, Miroslava
TI - The asymptotic properties of solutions of differential system of the form $g_i(x)y^{\prime }_i=u_i(y_i)+f_i(x,y_1,\cdots , y_n)$, $i=1,2,\cdots , n$ in some neighbourhood of a singular point
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1993
PB - Palacký University Olomouc
VL - 32
IS - 1
SP - 151
EP - 158
LA - eng
KW - Waźewski retract method; existence of a solution entering the singular point
UR - http://eudml.org/doc/23569
ER -

References

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  1. Fichtengolc G.M., Lectures on differential and integral calculus I, (in Russian), Moscow, 1958. (1958) 
  2. Hartman F., Ordinary differential equations, New York, 1964. (1964) Zbl0125.32102
  3. Nikaido H., Convex structures and economic theory, Academic press. New York, 1968. (1968) Zbl0172.44502MR0277233
  4. Růžičková M., Asymptotické vlastnosti riešení diferenciálnej rovnice typu g(x)y´ = u(y) + f(x,y) v okolí izolovaného singulárneho bodu, Práce a štúdie VŠDS, Séria matematicko-fyzikálna zv. 7 (1989) str. 15-24. (1989) MR1092327
  5. Diblík J., On existence O-curves of a singular differential systems, (in Russian), Math. Nachr. 122 (1985) 247-258. (1985) MR0871207

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