On Some Properties of the Equation $y^{\text{'}\text{'}}\left(x\right)+f\left(x\right)y^{\alpha }\left(x\right)=0,0<\alpha <1$

 Access to full text

 Full (PDF)

1. Moore R. A., Nehari Z., Nonoscillation theorems for a class of nonlinear differential equations, Trans. Amer. Math. Soc. 93 (1959), 30-52. (1959) MR0111897
2. Kигypaдзe И. T., Об ycлoвuяx o кoлeблeмocmu peшeнuй ypaвнenuя $u^{\text{'}\text{'}}+a\left(t\right){\left|u\right|}^{n}sgnu=0$, Časop. pëstov. mat. 87 (1962), 492-495. (1962) 
3. Бeллмaн P., Teopuя ycmoйчuвocmu peшeнuй дuффepeнцuaльныx ypaвнeнuй, Mocквa 1954. (1954) 
4. Belohorec Š., Neoscilatorické riešenia istej nelineárnej diferenciálnej rovnice druhêho rádu, Mat.-fyz. časop. 12 (1962), 253-262. (1962) MR0159994
5. Belohorec Š., Oscilatorické riešenia istej nelineárnej diferenciálnej rovnice druhého rádu, Mat.-fyz. časop. 11 (1961), 250-255. (1961) 

1. Jozef Eliáš, A note on the differential equation $y^{\left(n\right)}\left(x\right)+f\left(x\right)y^{\alpha }\left(x\right)=0,$ $0<\alpha <1$
2. Herman E. Gollwitzer, Growth estimates for non-oscillatory solutions of a non-linear differential equation
3. Ján Ohriska, Asymptotic properties of solutions of a second order nonlinear delay differential equation
4. Ivan Kiguradze, On the oscillatory and monotone solutions of ordinary differential equations