This paper studies the contraction properties of nonlinear differential-algebraic equation (DAE) systems. Specifically we develop scalable techniques for constructing the attraction regions associated with a particular stable equilibrium, by establishing the relation between the contraction rates of the original systems and the corresponding virtual extended systems. We show that for a contract...

metabolic alkalosis is characterized by high hco3- as it is seen in chronic respiratory acidosis, but ph differentiates the two disorders. there is no characteristic symptom or sign. orthostatic hypotension may be encountered. weakness and hyporeflexia occur if serum k+ is markerdly low. tetany and neuromuscular irritability occur rarely. we report the results of retrospective data analysis of ...

This study examines if there are any mild solutions for the perturbed partial functional and neutral evolution equations with state-dependent delay when derivative utilizes Caputo's fractional derivative, as well whether such unique. The solution itself determines how long take to solve. work proves existence uniqueness of these using semigroup theory Banach contraction theorem in spaces.

In contrast to numerous studies on the function of the locomotor system used by fishes when moving between water and land, little knowledge is available about the biomechanical requirements to the capture and transport of food by fish in a terrestrial situation. This study focuses on the kinematics of terrestrial capture of prey by the eel-catfish (Channallabes apus: Clariidae), a behavior that...

The typical installation of a heat exchange device usually involves a flow contraction at the core entrance and a flow expansion at the core exit. Repeated flow Contraction and expansion are experienced in the flow passages of some compact heat exchangers. The latter refers to the flow passages in the plate-fin type with louvered fins or stripped fins and in the tubular type with dimpled-circul...