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Existence results for a fourth order problem with functional perturbed clamped beam boundary conditions

  • Alberto Cabada EMAIL logo , Rochdi Jebari und Lucía López-Somoza
Veröffentlicht/Copyright: 14. August 2024
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 74 Heft 4

Abstract

In this paper, we study the existence of positive solutions for a fourth order boundary value problem coupled to functional perturbed clamped beam boundary conditions. Our main ingredient is the classical fixed point index. The problem investigated is an extension of other problems studied in previous papers by covering very general nonlocal perturbed conditions on the boundary.

Keywords: Fourth-order boundary value problem; nonlocal boundary conditions; fixed point index; Green’s functions
MSC 2010: Primary 34B15; 34B27; Secondary 34B08; 34B09; 34B10; 34B18

First and third authors were supported by Grant PID2020-113275GB-I00, funded by MCIN/AEI/ 10.13039/501100011033 and by “ERDF A way of making Europe” of the “European Union”, and by Xunta de Galicia (Spain), project ED431C 2023/12.

  1. Communicated by Jozef Džurina

References

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Received: 2023-07-04
Accepted: 2024-01-10
Published Online: 2024-08-14
Published in Print: 2024-08-27

© 2024 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. 10.1515/ms-2024-frontmatter4
  2. Intervals of posets of a zero-divisor graph
  3. Coalgebraic methods for Ramsey degrees of unary algebras
  4. On nonexistence of D(n)-quadruples
  5. Rees short exact sequences and preenvelopes
  6. Generalized discrete Grüss and related results with applications
  7. Radius problem associated with certain ratios and linear combinations of analytic functions
  8. Existence results for a fourth order problem with functional perturbed clamped beam boundary conditions
  9. Oscillatory and asymptotic behavior of even-order nonlinear differential equations with mixed neutral terms
  10. On a solvable four-dimensional system of difference equations
  11. Euclidean operator radius inequalities of d-tuple operators and operator matrices
  12. Equable parallelograms on the Eisenstein lattice
  13. On certain star versions of the Hurewicz property using ideals
  14. Relative versions of star-Menger property
  15. The Maxwell-Boltzmann-Exponential distribution with regression model
  16. New results for the Marshall-Olkin family of distributions
  17. A new family of copulas based on probability generating functions
  18. Induced mappings on the hyperspace of totally disconnected sets
https://doi.org/10.1515/ms-2024-0067
Schlagwörter für diesen Artikel
Fourth-order boundary value problem; nonlocal boundary conditions; fixed point index; Green’s functions

Artikel in diesem Heft

  1. 10.1515/ms-2024-frontmatter4
  2. Intervals of posets of a zero-divisor graph
  3. Coalgebraic methods for Ramsey degrees of unary algebras
  4. On nonexistence of D(n)-quadruples
  5. Rees short exact sequences and preenvelopes
  6. Generalized discrete Grüss and related results with applications
  7. Radius problem associated with certain ratios and linear combinations of analytic functions
  8. Existence results for a fourth order problem with functional perturbed clamped beam boundary conditions
  9. Oscillatory and asymptotic behavior of even-order nonlinear differential equations with mixed neutral terms
  10. On a solvable four-dimensional system of difference equations
  11. Euclidean operator radius inequalities of d-tuple operators and operator matrices
  12. Equable parallelograms on the Eisenstein lattice
  13. On certain star versions of the Hurewicz property using ideals
  14. Relative versions of star-Menger property
  15. The Maxwell-Boltzmann-Exponential distribution with regression model
  16. New results for the Marshall-Olkin family of distributions
  17. A new family of copulas based on probability generating functions
  18. Induced mappings on the hyperspace of totally disconnected sets
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