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Vector Operation on the Family of the Sets of Upper Bounds in Ordered Linear Spaces
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A Study of Fuzzy Ordered Bounded Linear Operators on Fuzzy Riesz Spaces
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Differential Equations, 2020
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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
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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
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Differential Equations, 2008
In a Banach space E, we study the equation $$ u''(t) + Bu'(t) + Cu(t) = f(t), 0 \leqslant t < \infty $$ (1) , where f(t) ∈ C([0,∞);E), B,C ∈ N(E), and N(E) is the set of closed unbounded linear operators from E to E with dense domain in E. We find a two-parameter family of solutions of Eq.
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In a Banach space E, we study the equation $$ u''(t) + Bu'(t) + Cu(t) = f(t), 0 \leqslant t < \infty $$ (1) , where f(t) ∈ C([0,∞);E), B,C ∈ N(E), and N(E) is the set of closed unbounded linear operators from E to E with dense domain in E. We find a two-parameter family of solutions of Eq.
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Differential Equations, 2007
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