In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

A concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎ ‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎ ‎the parametric‎ ‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎ ‎constraint set $K$...

  Proteases play a key role in protein digestion in ticks and other haematophagous insects. Our understanding of blood meal digestion in digestive system of ticks can be very useful for better understanding of basic rules for control of ticks. Cells of the midgut endocytose blood components. Blood proteins uptake by midgut cells, suggesting the presence of proteases in the midgut cells. In this...