ON USING VARIOUS MATHEMATICS INSTRUCTIONS VERSUS TRADITIONAL INSTRUCTION-AN ACTION RESEARCH

In this research, I provide an overview of potentially selected interactive mathematical instructions that help learners-educators identifying the most effective practices for teaching a course on differential equations. Based on my practical experience, positive and negative aspects of the used techniques are discussed. Immediate reactions on the disadvantages of the implementation of these different instructions have been successfully demonstrated throughout the practices. I conduct a survey in form of a questionnaire asking the learners about their opinions in this experience from which conclusion and recommendation are drawn and proposed to use in the process of teaching and learning next semesters.DOI: http://dx.doi.org/10.22342/jme.8.2.4139.133-14

Almost periodic solutions for an impulsive delay Nicholson’s blowflies model

AbstractBy means of the contraction mapping principle and Gronwall–Bellman’s inequality, we prove the existence and exponential stability of positive almost periodic solution for an impulsive delay Nicholson’s blowflies model. The main results are illustrated by an example

Oscillation of Nonlinear Third-Order Difference Equations with Mixed Neutral Terms

In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of parameters are offered

Perron-Type Criterion for Linear Difference Equations with Distributed Delay

It is shown that if a linear difference equation with distributed delay of the form Δx(n) , n ≥ 1, satisfies a Perron condition then its trivial solution is uniformly asymptotically stable

Almost periodic solutions of impulsive integro‐differential neural networks

In this paper, sufficient conditions are established for the existence of almost periodic solutions for system of impulsive integro‐differential neural networks. Our approach is based on the estimation of the Cauchy matrix of linear impulsive differential equations. We shall employ the contraction mapping principle as well as Gronwall‐Bellman's inequality to prove our main result. The research of Gani Tr. Stamov is partially supported by the Grand 100ni087–16 from Technical University–Sofia First published online: 10 Feb 201