Abstract This study introduces a novel double variable-length cable pendulum model and experimental setup featuring elastic suspension counterweight mass. Our main goal is to investigate the complex dynamics resulting from variable length’s impact on vibration frequency amplitude. Through numerical simulations experiments, we explore system’s response different external forces. Utilizing method...

We consider a fractional double phase Robin problem involving variable order and exponents. The nonlinearity $f$ is Carath\'{e}odory function satisfying some hypotheses which do not include the Ambrosetti-Rabinowitz type condition. By using Variational methods, we investigate multiplicity of solutions.

This paper presents a class of exponential chain ratio type estimator in double sampling for estimating finite population mean of the study variable, when the information on another additional auxiliary variable is known along with the main auxiliary variable. The property of proposed class of estimator has been studied. Comparison has been made with other competitive estimators. The proposed e...

The equations providing to describe generation process in FEL with varied parameters of diffraction grating (photonic crystal) are obtained. It is shown that applying diffraction gratings (photonic crystal) with the variable period one can significantly increase radiation output. It is mentioned that diffraction gratings (photonic crystal) can be used for creation of the dynamical wiggler with ...