Two-Term Differential Equations with Matrix Distributional Coefficients

• Datum: 2015
• Hauptverfasser: Konstantinov, O. O., Константінов, О. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2010
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We propose a regularization of the formal differential expression $$\begin{array}{cc}\hfill l(y)={i}^m{y}^{(m)}(t)+q(t)y(t),\hfill & \hfill t\in \left(a,b\right)\hfill \end{array},$$ of order $m ≥ 2$ with matrix distribution $q$. It is assumed that $q = Q^{([m/2])}$, where $Q = (Q_{i,j})_{i,...