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Boundary value problems for linear operators in ordered Banach spaces [PDF]

open access: yesStudia Mathematica, 2010
We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E∗) in ordered Banach spaces.
Gerd Herzog
exaly   +3 more sources

A note on irreducibility for linear operators on partially ordered finite dimensional vector spaces

open access: yesLinear Algebra and Its Applications, 1976
AbstractMany of the important applications of the Perron-Frobenius theory of nonnegative matrices assume that certain matrices are irreducible. The purpose of this note is to introduce a weaker condition which can be used in place of irreducibility, even in the more general setting of linear operators on a partially ordered finite dimensional vector ...
James S Vandergraft
exaly   +2 more sources

Second-order linear differential equations in a Banach space and splitting operators

Russian Mathematics, 2017
Let \({\mathcal X}\) be a Banach space, let \({\mathcal X}^2={\mathcal X}\times{\mathcal X}\). In the space \(C_b(\mathbb{R},{\mathcal X})\) consider the second-order linear differential operator \[ Lx=\ddot x+ B_1\dot x+ B_2x \] with the domain \(D(L)= C^{(2)}_b(\mathbb{R},{\mathcal X})\). Here, \(B_1\), \(B_2\) are bounded operators in \({\mathcal X}\
Baskakov, A. G.   +2 more
openaire   +1 more source

On the General Solution of a Linear nth-Order Differential Equation with Constant Bounded Operator Coefficients in a Banach Space

Differential Equations, 2005
Let \(E\) be a Banach space. The author considers the equation \[ u^{(n)}+A_1u^{(n-1)} + \ldots + A_{n-1}u^\prime +A_nu = f(t), \quad 0 \leq t < \infty,\eqno(1) \] where \(A_i \in L(E), 1 \leq i \leq n\) and \(f(t) \in C([0, \infty); E)\) and associates the operator characteristic equation \[ \Lambda^n +A_1 \Lambda^{n-1} + \ldots + A_{n-1}\Lambda + A_n
openaire   +2 more sources

Nonlinear differential operators of first and second order possessing invariant linear spaces of maximal dimension

Theoretical and Mathematical Physics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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