Connection between analytic properties of operator functions and smoothness of solutions of degenerate differential equations

A. V. Babin

doi:10.1007/bf01077723

Connection between analytic properties of operator functions and smoothness of solutions of degenerate differential equations

Functional Analysis and Its Applications ◽

10.1007/bf01077723 ◽

1988 ◽

Vol 22 (1) ◽

pp. 48-50

Author(s):

A. V. Babin

Keyword(s):

Differential Equations ◽

Operator Functions ◽

Smoothness Of Solutions ◽

Degenerate Differential Equations

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Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces

Journal of Integral Equations and Applications ◽

10.1216/jie.2021.33.171 ◽

2021 ◽

Vol 33 (2) ◽

Author(s):

Shangquan Bu ◽

Yuchen Zhong

Keyword(s):

Continuous Function ◽

Differential Equations ◽

Infinite Delay ◽

Function Spaces ◽

Second Order ◽

Well Posedness ◽

Hölder Continuous ◽

Order Degenerate ◽

Degenerate Differential Equations

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Strict Hölder regularity for fractional order abstract degenerate differential equations

Annals of Functional Analysis ◽

10.1007/s43034-021-00147-4 ◽

2021 ◽

Vol 13 (1) ◽

Author(s):

Md. Mansur Alam ◽

Shruti Dubey

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Hölder Regularity ◽

Degenerate Differential Equations ◽

Holder Regularity

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Well-posedness of second order degenerate differential equations in vector-valued function spaces

Studia Mathematica ◽

10.4064/sm214-1-1 ◽

2013 ◽

Vol 214 (1) ◽

pp. 1-16 ◽

Cited By ~ 20

Author(s):

Shangquan Bu

Keyword(s):

Differential Equations ◽

Function Spaces ◽

Second Order ◽

Well Posedness ◽

Order Degenerate ◽

Vector Valued Function ◽

Degenerate Differential Equations ◽

Vector Valued

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Fractional Integral Inequalities and Their Applications to Degenerate Differential Equations with the Caputo Fractional Derivative

Siberian Mathematical Journal ◽

10.1134/s0037446620020032 ◽

2020 ◽

Vol 61 (2) ◽

pp. 208-221

Author(s):

A. N. Artyushin

Keyword(s):

Differential Equations ◽

Fractional Derivative ◽

Caputo Fractional Derivative ◽

Fractional Integral ◽

Integral Inequalities ◽

Degenerate Differential Equations

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Semigroups of operators, cosine operator functions, and linear differential equations

Journal of Soviet Mathematics ◽

10.1007/bf01138948 ◽

1991 ◽

Vol 54 (4) ◽

pp. 1042-1129 ◽

Cited By ~ 11

Author(s):

V. V. Vasil'ev ◽

S. G. Krein ◽

S. I. Piskarev

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Semigroups Of Operators ◽

Cosine Operator ◽

Operator Functions ◽

Cosine Operator Functions ◽

Linear Differential

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Direct and inverse problems for degenerate differential equations

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-018-0303-9 ◽

2018 ◽

Vol 64 (2) ◽

pp. 227-241 ◽

Cited By ~ 2

Author(s):

Mohammed Al Horani ◽

Mauro Fabrizio ◽

Angelo Favini ◽

Hiroki Tanabe

Keyword(s):

Inverse Problems ◽

Differential Equations ◽

Direct And Inverse Problems ◽

Degenerate Differential Equations

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Nonlocal Boundary Value Problems with Partially Integral Conditions for Degenerate Differential Equations with Multiple Characteristics

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04181-5 ◽

2019 ◽

Vol 237 (4) ◽

pp. 549-562

Author(s):

A. I. Kozhanov ◽

G. A. Lukina

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Nonlocal Boundary ◽

Integral Conditions ◽

Nonlocal Boundary Value Problems ◽

Multiple Characteristics ◽

Degenerate Differential Equations

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Periodic solutions of fractional degenerate differential equations with delay in Banach spaces

Israel Journal of Mathematics ◽

10.1007/s11856-019-1884-4 ◽

2019 ◽

Vol 232 (2) ◽

pp. 695-717

Author(s):

Shangquan Bu ◽

Gang Cai

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Banach Spaces ◽

Degenerate Differential Equations ◽

Equations With Delay

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Well-posedness of degenerate differential equations with fractional derivative in vector-valued functional spaces

Mathematische Nachrichten ◽

10.1002/mana.201500481 ◽

2016 ◽

Vol 290 (5-6) ◽

pp. 726-737

Author(s):

Shangquan Bu ◽

Gang Cai

Keyword(s):

Differential Equations ◽

Fractional Derivative ◽

Well Posedness ◽

Degenerate Differential Equations ◽

Vector Valued

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Periodic solutions of third-order degenerate differential equations in vector-valued functional spaces

Israel Journal of Mathematics ◽

10.1007/s11856-016-1282-0 ◽

2016 ◽

Vol 212 (1) ◽

pp. 163-188 ◽

Cited By ~ 5

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Third Order ◽

Order Degenerate ◽

Degenerate Differential Equations ◽

Vector Valued

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