On the balanced pantograph equation of mixed type

• Date: 2024
• Main Authors: Derfel, G., Brunt, B. van
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7654
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We consider the balanced pantograph equation (BPE) $y^{\prime}(x)+y(x)=\sum_{k=1}^{m}p_{k}y(a_{k}x),$ where $a_{k}, p_{k} >0$ and $\sum_{k=1}^{m}p_{k} =1.$ It is known that if $K=\sum_{k=1}^{m}p_{k}\ln a_{k} \leq 0$ then, under mild technical conditions, the BPE doe...