“Analysis and Applied Mathematics” Еженедельный онлайн семинар 5

Bahçeşehir University, Istanbul, Turkey

Analysis & PDE Center, Ghent University, Ghent, Belgium

Institute Mathematics & Math. Modeling, Almaty, Kazakhstan

“Analysis and Applied Mathematics”

Weekly Online Seminar

Date: Tuesday, March 22, 2022

Time: 14.00-15.00 (Istanbul) = 12.00-13.00 (Ghent) = 17.00-18.00 (Almaty)

Zoom link: https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,

Conference ID: 667 827 0445, Access code: 1

Speaker:

Prof. Dr. Alberto Cabada

University of Santiago de Compostela, Galicia, Spain

Title: Existence and multiplicity results of fourth order equa-tions with integral conditions on the boundary

Abstract:

Fourth-order boundary value problems model some kinds of deformations of an elastic beam. They have been studied by many authors via various methods, such as Leray-Schauder continuation method, topological degree theory, shooting method, fixed point the-orems on cones, critical point theory, the lower and upper solutions method or spectral the-ory.

In this talk, we study the existence and multiplicity of positive solutions for the fourth order problem.

The boundary conditions model the deflection of beam fixed in 0 that has some mechanism in 1 which controls the displacement according to the feedback from devices measuring the displacements along parts of the beam.

References:

[1] A. Cabada and C. Fernández-Gómez, Constant sign solutions of two-point fourth order problems, Appl. Math. Comput., 263 (2015), 122–133.

[2] A. Cabada and R. Jebari, Multiplicity results for fourth order problems related to the theory of deformations beams, Discrete Contin. Dyn. Syst. Ser. B, 25 (2020), 2, 489–505.

Biography:

Alberto Cabada has obtained a degree in Mathematics in 1989 and PhD degree in Mathemat-ics in 1992, both of them from University of Santiago de Compostela (Spain). After completion of his studies, he had a position of Interim Associate Professor (1992-1994) and Associate Professor (1994-2010). Alberto Cabada holds currently a position of a Full Professor since 2010. All of them at the University of Santiago de Compostela. Since 2004 he appears on the list of 1% of the most cited mathematicians in the world according to the Essential Scientific Indicators of the Institute of Scientific Information (ISI) of Philadelphia.

According to this institution, his h-index is equal to 31. His topics of research deal mostly with the existence and multiplicity of solution in differential equations, both ordinary and partial derivatives, as well as in difference and fractional equations.

Forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars

Full information.

Kazakh Mathematical Journal

“Analysis and Applied Mathematics” Еженедельный онлайн семинар 5

Title: Existence and multiplicity results of fourth order equa-tions with integral conditions on the boundary

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