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Sturm–Liouville and Focal Higher Order BVPs with Singularities in Phase Variables
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Irena Rachůnková
Published/Copyright:
February 26, 2010
Abstract
The paper deals with the existence of solutions for singular higher order differential equations with Sturm–Liouville or (𝑝, 𝑛 – 𝑝) right focal boundary conditions or the (𝑛 – 𝑝, 𝑝) left focal boundary conditions. Right-hand sides of differential equations may be singular in the zero values of all their phase variables. The proofs are based on the regularization and sequential techniques.
Key words and phrases:: Singular higher order differential equation; Sturm–Liouville boundary conditions; focal boundary conditions; existence; regularization; sequential technique
Received: 2002-09-15
Published Online: 2010-02-26
Published in Print: 2003-March
© Heldermann Verlag
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Articles in the same Issue
- On One Theorem of S. Warschawski
- Investigation of Two-Dimensional Models of Elastic Prismatic Shell
- Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
- Operational Identities for Circular and Hyperbolic Functions and Their Generalizations
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- Cochain Operations Defining Steenrod ⌣𝑖-Products in the Bar Construction
- On Maximal 𝑜𝑡-Subsets of the Euclidean Plane
- Inversion of the Cauchy Integral Taken over the Double Periodic Line
- Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
- Local Growth of Weierstrass σ-Function and Whittaker-Type Derivative Sampling
- Sturm–Liouville and Focal Higher Order BVPs with Singularities in Phase Variables
- On Some Convexity Properties of Generalized Cesáro Sequence Spaces
