On the Cauchy Problem for a Class of Degenerate Differential Equations with Lipschitz Right-Hand Side
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 78-81
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This note deals with an application of the fixed point theorem for multivalued contraction mappings to the study of degenerate differential equations with Lipschitz right-hand side and with degeneration determined by a closed surjective linear operator.
Keywords:
closed surjective linear operator, operator equation, Cauchy problem, degenerate differential equation.
@article{FAA_2008_42_3_a8,
author = {B. D. Gel'man},
title = {On the {Cauchy} {Problem} for a {Class} of {Degenerate} {Differential} {Equations} with {Lipschitz} {Right-Hand} {Side}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {78--81},
publisher = {mathdoc},
volume = {42},
number = {3},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a8/}
}
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B. D. Gel'man. On the Cauchy Problem for a Class of Degenerate Differential Equations with Lipschitz Right-Hand Side. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 78-81. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a8/