Nowadays a progress in investigation of chaotic dynamics in various branches of science like mechanics, physics, biology, chemistry, medicine, economy, etc. is achieved. In the field of mechanical continuous systems like beams/plates/shells there exists already a vast number of paper devoted to investigation of their bifurcational and chaotic behaviour. For instance, axially accelerating beams ...

The left main coronary artery (LMCA) is responsible for supplying about 75% to 100% of the left ventricular cardiac mass. Left main stem coronary artery (LMCA) disease reduces flow to a large portion of the myocardium, placing the patient at high risk for life-threatening events such as left ventricular dysfunction and arrhythmias with a high mortality approaching 50% in those treated medically...

in cite{p}, park introduced the quadratic $rho$-functional inequalitiesbegin{eqnarray}&& |f(x+y)+f(x-y)-2f(x)-2f(y)| && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumberend{eqnarray}where $rho$ is a fixed complex number with $|rho|andbegin{eqnarray}&& left|2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}r...

in this paper, we investigate the generalizedhyers--ulam stability of the functional equation