Uniqueness Implies Existence and Uniqueness Criterion for Nonlocal Boundary Value Problems for Third Order Differential Equations
For the third order differential equation, y''' = f(x, y, y', y''), we consider uniqueness implies existence results for solutions satisfying the nonlocal 4-point boundary conditions, y(x1) = y1, y(x2) = y2, y(x3) − y(x4) = y3. Uniqueness of solutions of such boundary value problems is intimately related to solutions of the third order equation satisfying certain nonlocal 3-point boundary conditions. These relationships are investigated as well.
S. L. Clark and J. Henderson, "Uniqueness Implies Existence and Uniqueness Criterion for Nonlocal Boundary Value Problems for Third Order Differential Equations," Proceedings of the American Mathematical Society, American Mathematical Society, Jan 2006.
Mathematics and Statistics
National Science Foundation (U.S.)
Keywords and Phrases
boundary value problem; nonlocal
Article - Conference proceedings
© 2006 American Mathematical Society, All rights reserved.