Periodic solutions for extended Fisher–Kolmogorov and Swift–Hohenberg equations by truncature techniques

Periodic and Homoclinic Solutions of Ext

Periodic and Homoclinic Solutions of Extended Fisher–Kolmogorov Equations

✍ Stepan Tersian; Julia Chaparova 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 132 KB

In this paper we study the existence of periodic solutions of the fourth-order equations u iv -pu -a x u + b x u 3 = 0 and u iv -pu + a x u -b x u 3 = 0, where p is a positive constant, and a x and b x are continuous positive 2Lperiodic functions. The boundary value problems P 1 and P 2 for these eq