Existence and asymptotic behavior of solutions to the perturbed singular Cauchy problem $α(t)x' = φ(t, x) + f(t, x, x'), x(0) = 0$

Zernov Oleksandr Evgeniovych; Perets Olga  Borysivna

Zernov Oleksandr Evgeniovych ¹ , Perets Olga Borysivna ²

¹ Department of Algebra and Geometry, South Ukrainian State Pedagogical University named after K. D. Ushynsky, Odesa, 65020, Ukraine

² South Ukrainian State Pedagogical University named after K.D. Ushynsky, Odesa, 65020, Ukraine

Keywords: asymptotic behavior, Cauchy problem

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Abstract

The existence of a continuously differentiable solution with needed asymptotic properties is being proved.

References

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ACS Style: Zernov, O.E.; Perets, O.B. Existence and asymptotic behavior of solutions to the perturbed singular Cauchy problem $α(t)x' = φ(t, x) + f(t, x, x'), x(0) = 0$. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Zernov OE, Perets OB. Existence and asymptotic behavior of solutions to the perturbed singular Cauchy problem $α(t)x' = φ(t, x) + f(t, x, x'), x(0) = 0$. Bukovinian Mathematical Journal. 2018; 1(191).
Chicago/Turabian Style: Oleksandr Evgeniovych Zernov, Olga Borysivna Perets. 2018. "Existence and asymptotic behavior of solutions to the perturbed singular Cauchy problem $α(t)x' = φ(t, x) + f(t, x, x'), x(0) = 0$". Bukovinian Mathematical Journal. 1 no. 191.

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