## Taiwanese Journal of Mathematics

- Taiwanese J. Math.
- Volume 15, Number 4 (2011), 1637-1650.

### On Normal Solvability of Boundary Value Problems for Operator-differential Equations on Semi-axis in Weight Space

Sabir S. Mirzoev and Rovshan Z. Humbataliev

#### Abstract

In the paper, the conditions of normal solvability of some boundary value problems are obtained for a class of operator-differential equations of elliptic type on a semi-axis in weight spaces. The principal part of this equation contains a multiple characteristics operator. All conditions are expressed only by the properties of the operators of the given equation.

#### Article information

**Source**

Taiwanese J. Math., Volume 15, Number 4 (2011), 1637-1650.

**Dates**

First available in Project Euclid: 18 July 2017

**Permanent link to this document**

https://projecteuclid.org/euclid.twjm/1500406369

**Digital Object Identifier**

doi:10.11650/twjm/1500406369

**Mathematical Reviews number (MathSciNet)**

MR2848979

**Zentralblatt MATH identifier**

1237.34111

**Subjects**

Primary: 39B42: Matrix and operator equations [See also 47Jxx] 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

**Keywords**

operator-differential equation Hilbert space normal solvability multiple characteristics

#### Citation

Mirzoev, Sabir S.; Humbataliev, Rovshan Z. On Normal Solvability of Boundary Value Problems for Operator-differential Equations on Semi-axis in Weight Space. Taiwanese J. Math. 15 (2011), no. 4, 1637--1650. doi:10.11650/twjm/1500406369. https://projecteuclid.org/euclid.twjm/1500406369