## Linear Operators: General theory |

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Page 564

19 Find the most general solution of the differential

the matrix of Exercise 5 . The next ten exercises refer to the stability theory of

systems of n linear homogeneous differential

Here A ...

19 Find the most general solution of the differential

**equation**y ' = Ty where T isthe matrix of Exercise 5 . The next ten exercises refer to the stability theory of

systems of n linear homogeneous differential

**equations**, dy ( t ) / dt = A ( t ) y .Here A ...

Page 762

On a class of linear

The Ly - solutions of linear differential

logarithmico - exponential differential

On a class of linear

**equations**with symmetrizable operators . Doklady Akad . ...The Ly - solutions of linear differential

**equations**of second order . ... On the linearlogarithmico - exponential differential

**equation**of the second order . Amer .Page 763

Sci . U.S.A. 33 , 376–379 ( 1947 ) . 3 . The asymptotic arcus variation of solutions

of real linear differential

1948 ) . 4. Criteria for the non - degeneracy of the wave

.

Sci . U.S.A. 33 , 376–379 ( 1947 ) . 3 . The asymptotic arcus variation of solutions

of real linear differential

**equations**of second order . Amer . J. Math . 70 , 1-10 (1948 ) . 4. Criteria for the non - degeneracy of the wave

**equation**. Amer . J. Math.

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

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algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math meaning measure space metric neighborhood norm operator positive measure problem Proc proof properties proved respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero