Differential Equations

, Volume 46, Issue 2, pp 182–186 | Cite as

On boundary value problems for an nth-order equation

  • N. I. Vasil’ev
  • A. Ya. Lepin
  • L. A. Lepin
Ordinary Differential Equations


For an nth-order differential equation with right-hand side satisfying the Carathéodory conditions, we consider a two-point boundary value problem with boundary conditions of which the first two have a general form and the remaining conditions are simplest. We show that the existence of a lower and an upper function and the compactness condition imply the solvability of this boundary value problem.


Compactness Condition Nonlinear Boundary Monotonicity Condition Nonlinear Boundary Condition Odory Condition 
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • N. I. Vasil’ev
    • 1
  • A. Ya. Lepin
    • 1
  • L. A. Lepin
    • 1
  1. 1.Institute of Mathematics and Computer ScienceUniversity of LatviaRigaLatvia

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