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A Second-Order Nonlinear Problem with Two-Point and Integral Boundary Conditions
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S. A. Brykalov
Published/Copyright:
February 18, 2010
Abstract
The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence result for a problem with functional boundary conditions obtained by the author in [Brykalov, Differential Equations 27: 1415-1420, 1991].
Received: 1993-05-03
Published Online: 2010-02-18
Published in Print: 1994-June
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Articles in the same Issue
- Some Open Problems About the Solutions of the Delay Difference Equation
- On Convergence Subsystems of Orthonormal Systems
- A Second-Order Nonlinear Problem with Two-Point and Integral Boundary Conditions
- Two-Dimensional Problems of Stationary Flow of A Noncompressible Viscous Fluid in the Case of Ozeen's Linearization
- Sturm's Theorem for Equations with Delayed Argument
- On the Cardinality of A Semi-Algebraic Set
- On Some Properties of Multiple Conjugate Trigonometric Series
- On Some Two-Point Boundary Value Problems for Two-Dimensional Systems of Ordinary Differential Equations
- Limit Behavior of Solutions of Ordinary Linear Differential Equations
- Contact Problems for Two Anisotropic Half-Planes with Slits
