On unbounded solutions of the first order ordinary differential equations
The article is concerned with Cauchy problem Gx(x, ξ) + H (x, G(x, ξ)) = 0, G(ξ, ξ)= + ∞ Let H(x, y), Hy(x,y) ∈ C(R2) and H(x, y) ≻ a1 |y|1+a +a2 where a1, a2 ≻ 0. Then there exists the unique solution G(x, ξ) of Cauchy problem and it is general solution of this equation.
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2001-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/34432 |
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