Qualitative Investigation of the Singular Cauchy Problem $\sum\limits_{k = 1}^n {(a_{k1} t + a_{k2} x)(x')^k = b_1 t + b_2 x + f(t,x,x'),x(0) = 0}$

  • A. E. Zernov

Abstract

We prove the existence of continuously differentiable solutions $x:(0,ρ] → R$ with required asymptotic properties as $t → +0$ and determine the number of these solutions.
Published
25.10.2003
How to Cite
ZernovA. E. “Qualitative Investigation of the Singular Cauchy Problem $\sum\limits_{k = 1}^n {(a_{k1} T + a_{k2} x)(x’)^k = b_1 T + b_2 X + f(t,x,x’),x(0) = 0}$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 10, Oct. 2003, pp. 1419-24, https://umj.imath.kiev.ua/index.php/umj/article/view/4010.
Section
Short communications