Geodesic
Solvability of the Cauchy Problem for Linear Operator-Differential Equations with Variable Operator Coefficients
Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 672-688

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We study the Cauchy problem for linear operator-differential equations with unbounded, nondensely defined, variable operator coefficients in a Banach space. We single out new classes of evolution equations of first and second order for which the Cauchy problem is solvable.
Keywords: linear operator-differential equation, Cauchy problem, Banach space, semigroup, Hölder continuity
Mots-clés : evolution equation. 
@article{MZM_2011_90_5_a3,
     author = {M. K. Balaev},
     title = {Solvability of the {Cauchy} {Problem} for {Linear} {Operator-Differential} {Equations} with {Variable} {Operator} {Coefficients}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {672--688},
     publisher = {mathdoc},
     volume = {90},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a3/}
}
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M. K. Balaev. Solvability of the Cauchy Problem for Linear Operator-Differential Equations with Variable Operator Coefficients. Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 672-688. http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a3/