Conditions of nontrivial solvability of the homogeneous Dirichlet problem for equations of any even order in the case of multiple characteristics without slope angles

• Дата: 2010
• Автори: Buryachenko, E. A., Буряченко, Е. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2010
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2890
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the homogeneous Dirichlet problem in the unit disk $K ⊂ R^2$ for a general typeless differential equation of any even order $2m,\; m ≥ 2$, with constant complex coefficients whose characteristic equation has multiple roots $± i$. For each value of multiplicity of the roots $i$ and $–i$,...