Add to ORKGAbstract. In this paper a method is developed to calculate the Floquet exponents of the matrix-valued version of Hill’s equation using infinite determinants. It is shown that the Floquet exponents are precisely the zeros of an infinite determinant corresponding to the differential equation. The proof of this result uses the continuity and holomorphy of the infinite determinant. 1
This paper is concerned with the problem of determining the location of eigenvalues for diagonally d...
AbstractThis paper is concerned with the problem of determining the location of eigenvalues for diag...
AbstractIt is well known that the Sylvester matrix equation AX+XB=C has a unique solution X if and o...
We study the Floquet solutions of the Mathieu equation. In order to find an explicit relation betwee...
endlicher Produkte verbessert. Die Definition dieser Produkte verwendet dabei die Kennt-nis des asym...
AbstractIn this paper we study the infinite linear system MμX=0 equivalent to the Mathieu equation. ...
AbstractHill's equation is studied for a particular class of periodic functions, which covers a broa...
In this thesis the following contributions are made to the theory of infinite systems of ordinary li...
AbstractInfinite matrices, the forerunner and a main constituent of many branches of classical mathe...
summary:This work describes a method to rigorously compute the real Floquet normal form decompositio...
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, co...
AbstractThe determinant, Jn, of [ai − j + 1]n, n with ai − j + 1 = 0 for j − i > 1 is obtained expli...
Abstract. The Fermat equation is solved in integral two by two matrices of determinant one as well a...
AbstractAn alternative to Plemelj-Smithies formulas for the p-regularized quantities d(p)(K) and D(p...
Consider a finite-dimensional linear homogeneous system of differential equations with continuous b...
This paper is concerned with the problem of determining the location of eigenvalues for diagonally d...
AbstractThis paper is concerned with the problem of determining the location of eigenvalues for diag...
AbstractIt is well known that the Sylvester matrix equation AX+XB=C has a unique solution X if and o...
We study the Floquet solutions of the Mathieu equation. In order to find an explicit relation betwee...
endlicher Produkte verbessert. Die Definition dieser Produkte verwendet dabei die Kennt-nis des asym...
AbstractIn this paper we study the infinite linear system MμX=0 equivalent to the Mathieu equation. ...
AbstractHill's equation is studied for a particular class of periodic functions, which covers a broa...
In this thesis the following contributions are made to the theory of infinite systems of ordinary li...
AbstractInfinite matrices, the forerunner and a main constituent of many branches of classical mathe...
summary:This work describes a method to rigorously compute the real Floquet normal form decompositio...
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, co...
AbstractThe determinant, Jn, of [ai − j + 1]n, n with ai − j + 1 = 0 for j − i > 1 is obtained expli...
Abstract. The Fermat equation is solved in integral two by two matrices of determinant one as well a...
AbstractAn alternative to Plemelj-Smithies formulas for the p-regularized quantities d(p)(K) and D(p...
Consider a finite-dimensional linear homogeneous system of differential equations with continuous b...
This paper is concerned with the problem of determining the location of eigenvalues for diagonally d...
AbstractThis paper is concerned with the problem of determining the location of eigenvalues for diag...
AbstractIt is well known that the Sylvester matrix equation AX+XB=C has a unique solution X if and o...