Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

On the Behavior of Solutions of Some Systems of Differential Equations Partially Solved with Respect to the Derivatives in the Presence of a Pole

Journal Article · · Journal of Mathematical Sciences
We study the existence of analytic solutions for some systems of ordinary differential equations partially solvable with respect to the derivatives. We establish sufficient conditions for the existence of analytic solutions of the Cauchy problem in the presence of a pole. An estimate for these solutions is obtained in a certain domain and the problem of the number of solutions is investigated.
OSTI ID:
22771470
Journal Information:
Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 4 Vol. 229; ISSN JMTSEW; ISSN 1072-3374
Country of Publication:
United States
Language:
English

Similar Records

Differential equations where the derivative is taken with respect to a measure
Journal Article · Sun Feb 27 23:00:00 EST 2011 · Sbornik. Mathematics · OSTI ID:21592564

Multivalued solutions of first-order partial differential equations
Journal Article · Tue Jun 30 00:00:00 EDT 1998 · Sbornik. Mathematics · OSTI ID:21202786

On a Certain First-Order Differential Equation with Delay
Journal Article · Tue May 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences · OSTI ID:22771281