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On Some Properties of the Dirichlet Problem at Resonance
-
Arnold Lepin
Published/Copyright:
March 10, 2010
Abstract
The boundary value problem at resonance
π₯β³ + π₯ = π sin π‘ + π(π‘,π₯,π₯β²), π₯(0) = 0, π₯(Ο) = 0,
is considered, where π : [0,Ο] Γ πΉ2 β πΉ is a bounded CarathΓ©odory function, π is a parameter. We state the multiplicity results without assuming that π has limits.
Received: 2006-11-17
Published Online: 2010-03-10
Published in Print: 2008-March
Β© Heldermann Verlag
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Articles in the same Issue
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- A Metric Deformation to Obtain a Positive/Negative Gaussian Curvature on a Disk
- On Automorphism Groups of Ο-Trees
- Growth and Approximation of Entire Harmonic Functions in π π, π > 3
- On Some Properties of the Dirichlet Problem at Resonance
- GrΓΆbner Bases for the Modules Over Noetherian Polynomial Commutative Rings
- Singular 2D Behaviors: Homologies
- Integrating Over the Inverse Image of Functions in the Besov Space
- The Fourth Order of Accuracy Decomposition Scheme for Abstract Hyperbolic Equation
- On a Generalization of Partial Isometries in Banach Spaces
- A Generalized Mandelbrot Set of Polynomials of Type πΈπ for Bicomplex Numbers