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Uniqueness theorem
for ordinary differential equations with Hölder
continuity
Yifei Pan, Mei Wang and Yu Yan |
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Vol. 263 (2013), No. 2, 453–473
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Abstract |
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We study ordinary differential equations of the type u(n)(t) = f(u(t)), with initial conditions u(0) = u′(0) = ⋯ = u(m−1)(0) = 0 and u(m)(0)≠0, where m ≥ n; no additional assumption is made on f. We establish some uniqueness results and show that f is always Hölder continuous. |
Keywords
uniqueness of solutions, ordinary differential equations
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Mathematical Subject Classification 2010
Primary: 34A12
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Milestones
Received: 25 January 2012
Revised: 20 February 2012
Accepted: 7 March 2012
Published: 31 May 2013
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Authors |
| Yifei Pan | |
| Department of Mathematical
Sciences Indiana University–Purdue University Fort Wayne Fort Wayne, IN 46805 United States |
School of Mathematics and
Informatics Jiangxi Normal University Nanchang China |
| Mei Wang | |
| Department of Statistics University of Chicago Chicago, IL 60637 United States |
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| Yu Yan | |
| Department of Mathematics and
Computer Science Huntington University Huntington, IN 46750 United States |
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