activity
20232026
most citedExponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers

1 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP2026

The continuity properties of the solutions of the wave equation at different boundary conditions across the characteristic line

Alemdar Hasanov, Vladimir G. Romanov

It is well-known the continuity properties of solutions to the wave equation depend strongly on both the initial data and the boundary conditions, particularly across the character…

math.AP2026

Identification of thermal expansion coefficient in a thermoelastic plate from final time-measured displacement

A. Dileep, S. Patnaik, K. Sakthivel +1

We investigate a coupled thermoelastic plate system consisting of a fourth-order displacement equation and a heat evolution equation linked through a spatially varying coupling fac…

math.AP2026

Simultaneous determination of an unknown bending moment and shear force in the Euler Bernoulli cantilever beam from measured boundary defection and slope

Alemdar Hasanov, Onur Baysal

It is known that the study of vibration characteristics at the tip of the micro-cantilever and its relationship to the sample plays a very important role in improving the resolutio…

math.AP2024

An accurate approach to determining the spatiotemporal vehicle load on bridges based on measured boundary slopes

Alemdar Hasanov, Onur Baysal

In this paper, a novel mathematical model is developed to evaluate the spatiotemporal vehicle loads on long bridges from slope measurements made at the ends of a bridge based on Eu…

math.AP2024

Identification of source terms in the Schrödinger equation with dynamic boundary conditions from final data

Salah-Eddine Chorfi, Alemdar Hasanov, Roberto Morales

In this paper, we study an inverse problem of identifying two spatial-temporal source terms in the Schrödinger equation with dynamic boundary conditions from the final time overdet…

math.AP2023

Inverse coefficient problem for cascade system of fourth and second order partial differential equations

Navaneetha Krishnan Murugesan, Sakthivel Kumarasamy, Alemdar Hasanov +1

The study of the paper mainly focusses on recovering the dissipative parameter in a cascade system coupling a bilaplacian operator to a heat equation from final time measured data…

math.AP2023★ 1 cited

Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers

Onur Baysal, Alemdar Hasanov, Alexandre Kawano

In this paper, the vibration model of an elastic beam, governed by the damped Euler-Bernoulli equation , subject to the clamp…

math.OC2023★ 1 cited

Exponential stability of Euler-Bernoulli beam under boundary controls in rotation and angular velocity

Alemdar Hasanov

This paper addresses the analysis of a boundary feedback system involving a non-homogeneous Euler-Bernoulli beam governed by the equation $+\left(r(x)u_{xx}\r…

math-ph2023

Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip

Alemdar Hasanov, Onur Baysal, Alexandre Kawano

In this paper, a dynamic model of reconstruction of the shear force in the Atomic Force Microscopy (AFM) cantilever tip-sample interaction is proposed. The interaction of th…

math.OC2023

Inverse Problems of Identifying the Unknown Transverse Shear Force in the Euler-Bernoulli Beam with Kelvin-Voigt Damping

K. Sakthivel, A. Hasanov, D. Anjuna

In this paper, we study the inverse problems of determining the unknown transverse shear force in a system governed by the damped Euler-Bernoulli equation $ρ(x)u_{tt}+μ(x)u_…