On asymptotic properties and distribution of zeros of solutions of $y^{\text{'}\text{'}}+f(t,y,y^{\text{'}})=0$

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1. Bartušek M., On Asymptotic Properties and Distribution of Zeros of Solutions of y" = q(t)y, Acta F.R.N. Univ. Comenianae, Math., XXXII, 1975, 69-86. (1975) MR0539861
2. Бapтyшeк M., O нyляx кoлeблющuxcя peшeнuй ypaвнeнuя ${\left[p\left(t\right)x^{\text{'}}\right]}^{\text{'}}+f(t,x,x^{\text{'}})=0$, Дyдap. ypaв. XII, 1976, 621-625. (1976) 
3. Bartušek M., On Zeros of Solutions of the Differential Equation ${\left[p\left(t\right)y^{\text{'}}\right]}^{\text{'}}+f(t,y,y^{\text{'}})=0$, Arch. Math. XI, No 4, 1975, 187-192. (1975) MR0409975
4. Bartušek M., On Distribution of Zeros of Solutions of Differential Equations $y^{\text{'}\text{'}}+f(t,y,y^{\text{'}})=0$, Arch. Math. XIII, No 2, 1977, 69-74. (1977) MR0492523
5. Bartušek M., Monotonicity Theorems Concerning Differential Equations $y"+f(t,y,y^{\text{'}})=0$, Arch. Math. XII, No 4, 1976, 169-178. (1976) MR0430410
6. Bihari I., Oscillation and Monotonity Theorems Concerning Non-linear Differential Equations of the Second Order, Acta Math. Acad. Sci. Hung., IX, No 1-2, 1958, 83-104. (1958) MR0095321
7. Burton T., Grimmer R., On the Asymptotic Behaviour of Solutions of $x"+a\left(t\right)f\left(x\right)=0$, Proc. Camb. Phil. Soc., 70, 1971, 77-88. (1971) MR0293193
8. Dlotko T., Sur làllure asymptotique des solutions de l'equation différentielle ordinaire du second ordre, Ann. polon. math., 11, 1961, No 3, 261-273. (1961) MR0133499
9. Ендовицкий И. И., Heкomopыe ycлoвия нeycmoйчuвocmu pemenuй ypaвnenuя $u"+p\left(x\right)u=0$, M3B. BV30B, Maт., 140, Ho 1, 1974, 47-51. (1974) 
10. Изюмова Д. B., Kичурадзe H. T., Heкomopыe зaмечания o pemeuях ypaenenuй $u"+a\left(t\right)f\left(u\right)=0$, Дифф. ypaв., IV, Ho 4, 1968, 589-605. (1968) 
11. Kaтранов A. T., O нулях колеблющихся pemenuй ypaвnenuя $x"+a\left(t\right)f\left(x\right)=0$, Дифф. ypaв., VII, Ho 5, 1971, 930-933. (1971) MR0287078
12. Kaтранов A. T., Oб acuмnmomичecком noвeдenuu колеблющихся pemenuй ypaвnenuя $\ddot{x}+f(t,x)g\left(\dot{x}\right)=0$, (1972) 
13. Kroopnik A., Properties of Solutions of Differential Equations of the Form $y"+a\left(t\right)b\left(y\right)=0$, Proc. Amer. Math. Soc., 34, No 1, 1972, 319-320. (1972) 
14. Lalli B. S., On Boundedness of Solutions of Certain Second Order Differential Equations, J. Math. Anal. Appl., 25, 1969, 182-188. (1969) MR0239184
15. Caнсонe Дж., Oбыкновенныe дифференциальные ypaвнения II, Moscow 1954. (1954) 
16. Utz, Properties of Solutions of $u"+q\left(t\right)u^{2n-1}=0$. II, Monatsh. Math., 69, No 4, 1965, 353-361. (1965) MR0193334
17. Waltman P., Some Properties of Solutions of $u"+a\left(t\right)f\left(u\right)=0$, Monatsh. Math., 67, 1963, No 1,50-54. (1963) MR0147700
18. Wong J. S. W., Boundedness Theorems for Solutions of $u"\left(t\right)+a\left(t\right)f\left(u\right)g\left(u^{\text{'}}\right)=0$. IV, L'enseignement Math., VII, 1961, 157-165. (1961) MR0234059
19. Wong J. S. W., Burton T., Some Properties of Solutions of $u"\left(t\right)+a\left(t\right)f\left(u\right)g\left(u^{\text{'}}\right)=0$. II, Monatsh. Math., 69, No 4, 1965, 368-374. (1965) MR0186885