In this work, the authors have discussed necessary and sufficient conditions for oscillation asymptotic behaviour of solutions second order nonlinear (sublinear/superlinear) neutral impulsive difference equations. The results are illustrated with examples under suitable fixed moments effect.

Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies emphasize of competition among cells, they fail explain recently observed super-linear growth dynamics across human tumors. Here we study by developing model...

We prove existence of weak solutions Neumann problem nonhomogeneous elliptic system with asymmetric nonlinearities that may resonant at − ∞ and superlinear + . The proof is based on...

Abstract In this article, we will prove the existence of infinitely many solutions for a class quasilinear Schrödinger equations without assuming 4-superlinear at infinity on nonlinearity. We achieve our goal by using Fountain theorem.