Estimates for solutions of linear and quasilinear systems in the nonautonomous case
By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix A ( t ) satisfying the condition || A ( t )− A ( s )|| ≤ δ | t − s | α ,...
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| Veröffentlicht in: | Differential equations 2016-02, Vol.52 (2), p.177-185 |
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| container_title | Differential equations |
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| creator | Lasunskii, A. V. |
| description | By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix
A
(
t
) satisfying the condition ||
A
(
t
)−
A
(
s
)|| ≤
δ
|
t
−
s
|
α
,
δ
> 0,
α
> 0,
t
,
s
≥ 0. We also prove analogs of these estimates for quasilinear differential and difference systems. |
| doi_str_mv | 10.1134/S001226611602004X |
| format | Article |
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A
(
t
) satisfying the condition ||
A
(
t
)−
A
(
s
)|| ≤
δ
|
t
−
s
|
α
,
δ
> 0,
α
> 0,
t
,
s
≥ 0. We also prove analogs of these estimates for quasilinear differential and difference systems.</description><identifier>ISSN: 0012-2661</identifier><identifier>EISSN: 1608-3083</identifier><identifier>DOI: 10.1134/S001226611602004X</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Analogs ; Coefficients ; Difference and Functional Equations ; Differential equations ; Eigenvalues ; Estimates ; Exponents ; Freezing ; Inequality ; Linear equations ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Ordinary Differential Equations ; Partial Differential Equations ; Studies</subject><ispartof>Differential equations, 2016-02, Vol.52 (2), p.177-185</ispartof><rights>Pleiades Publishing, Ltd. 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-d83be3f279245edbfdc912684c4b0aba6fbc10a0def0f7a25ba43ca0c4f7f7933</citedby><cites>FETCH-LOGICAL-c349t-d83be3f279245edbfdc912684c4b0aba6fbc10a0def0f7a25ba43ca0c4f7f7933</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S001226611602004X$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S001226611602004X$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Lasunskii, A. V.</creatorcontrib><title>Estimates for solutions of linear and quasilinear systems in the nonautonomous case</title><title>Differential equations</title><addtitle>Diff Equat</addtitle><description>By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix
A
(
t
) satisfying the condition ||
A
(
t
)−
A
(
s
)|| ≤
δ
|
t
−
s
|
α
,
δ
> 0,
α
> 0,
t
,
s
≥ 0. We also prove analogs of these estimates for quasilinear differential and difference systems.</description><subject>Analogs</subject><subject>Coefficients</subject><subject>Difference and Functional Equations</subject><subject>Differential equations</subject><subject>Eigenvalues</subject><subject>Estimates</subject><subject>Exponents</subject><subject>Freezing</subject><subject>Inequality</subject><subject>Linear equations</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Ordinary Differential Equations</subject><subject>Partial Differential Equations</subject><subject>Studies</subject><issn>0012-2661</issn><issn>1608-3083</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kEtPwzAQhC0EEqXwA7hZ4sIlsH7ESY6oKg-pEoeCxC1yHBtSpXbrdQ7996SUAwJx2l3NN6vREHLJ4IYxIW-XAIxzpRhTwAHk2xGZjGuZCSjFMZns5Wyvn5IzxBUAVAXLJ2Q5x9StdbJIXYgUQz-kLnikwdG-81ZHqn1Lt4PG7vvGHSa7Rtp5mj4s9cHrIQUf1mFAajTac3LidI_24ntOyev9_GX2mC2eH55md4vMCFmlrC1FY4XjRcVlbtvGtaZiXJXSyAZ0o5VrDAMNrXXgCs3zRkthNBjpCldUQkzJ9eHvJobtYDHV6w6N7Xvt7ZilZiWUoCr-hV79QldhiH5MV7OiUEWZc5WPFDtQJgbEaF29iWM5cVczqPc1139qHj384MGR9e82_vj8r-kTFPSAFQ</recordid><startdate>20160201</startdate><enddate>20160201</enddate><creator>Lasunskii, A. 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V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-d83be3f279245edbfdc912684c4b0aba6fbc10a0def0f7a25ba43ca0c4f7f7933</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Analogs</topic><topic>Coefficients</topic><topic>Difference and Functional Equations</topic><topic>Differential equations</topic><topic>Eigenvalues</topic><topic>Estimates</topic><topic>Exponents</topic><topic>Freezing</topic><topic>Inequality</topic><topic>Linear equations</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Ordinary Differential Equations</topic><topic>Partial Differential Equations</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lasunskii, A. V.</creatorcontrib><collection>CrossRef</collection><collection>India Database</collection><collection>India Database: Science & Technology</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Access via ABI/INFORM (ProQuest)</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ABI/INFORM Global</collection><collection>Computing Database</collection><collection>Research Library</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Research Library China</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ABI/INFORM Collection China</collection><collection>ProQuest Central Basic</collection><jtitle>Differential equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lasunskii, A. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Estimates for solutions of linear and quasilinear systems in the nonautonomous case</atitle><jtitle>Differential equations</jtitle><stitle>Diff Equat</stitle><date>2016-02-01</date><risdate>2016</risdate><volume>52</volume><issue>2</issue><spage>177</spage><epage>185</epage><pages>177-185</pages><issn>0012-2661</issn><eissn>1608-3083</eissn><abstract>By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix
A
(
t
) satisfying the condition ||
A
(
t
)−
A
(
s
)|| ≤
δ
|
t
−
s
|
α
,
δ
> 0,
α
> 0,
t
,
s
≥ 0. We also prove analogs of these estimates for quasilinear differential and difference systems.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S001226611602004X</doi><tpages>9</tpages></addata></record> |
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| ispartof | Differential equations, 2016-02, Vol.52 (2), p.177-185 |
| issn | 0012-2661 1608-3083 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Analogs Coefficients Difference and Functional Equations Differential equations Eigenvalues Estimates Exponents Freezing Inequality Linear equations Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Studies |
| title | Estimates for solutions of linear and quasilinear systems in the nonautonomous case |
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