dorsal/arxiv
View SchemaOn the geometry of point-expansions for certain class of differential equations of the second order
| Authors | O. N. Mikhailov, R. A. Sharipov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9712001 |
| URL | https://arxiv.org/abs/solv-int/9712001 |
Abstract
Second order ordinary differential equations of the form $y'' = P(x,y) + 4 Q(x,y) y' + 6 R(x,y) y'^2 + 4 S(x,y) y'^3 + L(x,y) y'^4$ are considered and their point-expansions are constructed. Geometrical structures connected with these expansions are described.
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"date_created": "2026-03-02T18:02:51.357000Z",
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"abstract": "Second order ordinary differential equations of the form $y\u0027\u0027 = P(x,y)\n + 4 Q(x,y) y\u0027 + 6 R(x,y) y\u0027^2 + 4 S(x,y) y\u0027^3 + L(x,y) y\u0027^4$ are considered\nand their point-expansions are constructed. Geometrical structures connected\nwith these expansions are described.",
"arxiv_id": "solv-int/9712001",
"authors": [
"O. N. Mikhailov",
"R. A. Sharipov"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On the geometry of point-expansions for certain class of differential equations of the second order",
"url": "https://arxiv.org/abs/solv-int/9712001"
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