2019
Том 71
№ 11

# Prosenyuk L. G.

Articles: 7
Brief Communications (Russian)

### Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative

Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 450–453

We consider a differential equation of then th order unsolved with respect to the derivative. Under certain assumptions, we investigate the existence and asymptotic behavior of solutions of this equation.

Brief Communications (Russian)

### Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative

Ukr. Mat. Zh. - 1993. - 45, № 10. - pp. 1461–1464

A system of differential equations unresolved with respect to a derivative is studied. Sufficient conditions for the existence of solutions with singular initial data are found. The dimensionality of the set of these solutions is determined and their asymptotic properties are studied.

Article (Ukrainian)

### Existence and asymptotics of O-solutions of a differential equation which cannot be solved for the derivative

Ukr. Mat. Zh. - 1987. - 39, № 6. - pp. 796-799

Article (Ukrainian)

### Power asymptotics of solutions of a system of differential equations, not solved for the derivative

Ukr. Mat. Zh. - 1985. - 37, № 4. - pp. 481–487

Article (Ukrainian)

### Behavior of the solutions of a real second-order differential equation, not solved with respect to the leading derivative

Ukr. Mat. Zh. - 1983. - 35, № 4. - pp. 519—524

Article (Ukrainian)

### Asymptotic behavior of solutions and their derivatives of a first-order complex differential equation

Ukr. Mat. Zh. - 1983. - 35, № 2. - pp. 182—186

Article (Ukrainian)

### Existence and asymptotic behavior of solutions of a real system of differential equations near a singular point

Ukr. Mat. Zh. - 1981. - 33, № 1. - pp. 101–104