dorsal/arxiv
View SchemaOn the point transformations for the equation $y''= P + 3Qy' + 3R{y'}^2 + S{y'}^3$
| Authors | R. A. Sharipov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9706003 |
| URL | https://arxiv.org/abs/solv-int/9706003 |
Abstract
For the equations $y''=P(x,y) + 3Q(x,y)y' + 3R(x,y){y'}^2 + S(x,y){y'}^3$ the problem of equivalence is considered. Some classical results are resumed in order to prepare the background for the study of special subclass of such equations, which arises in the theory of dynamical systems admitting the normal shift.
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"abstract": "For the equations $y\u0027\u0027=P(x,y) + 3Q(x,y)y\u0027 + 3R(x,y){y\u0027}^2 + S(x,y){y\u0027}^3$ the\nproblem of equivalence is considered. Some classical results are resumed in\norder to prepare the background for the study of special subclass of such\nequations, which arises in the theory of dynamical systems admitting the normal\nshift.",
"arxiv_id": "solv-int/9706003",
"authors": [
"R. A. Sharipov"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On the point transformations for the equation $y\u0027\u0027= P + 3Qy\u0027 + 3R{y\u0027}^2 + S{y\u0027}^3$",
"url": "https://arxiv.org/abs/solv-int/9706003"
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