{"id":12567,"date":"2017-05-04T12:24:40","date_gmt":"2017-05-04T08:24:40","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=12567"},"modified":"2017-05-04T15:55:22","modified_gmt":"2017-05-04T11:55:22","slug":"umumil%c9%99smis-yakobi-matrisl%c9%99ri-polinomial-%c9%99msalli-adi-diferensial-operatorlarin-matris-gost%c9%99rilisi-kimi-movzusunda-umuminstitut-seminari-kecirilib","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2017\/05\/04\/umumil%c9%99smis-yakobi-matrisl%c9%99ri-polinomial-%c9%99msalli-adi-diferensial-operatorlarin-matris-gost%c9%99rilisi-kimi-movzusunda-umuminstitut-seminari-kecirilib\/","title":{"rendered":"\u201c\u00dcmumil\u0259\u015fmi\u015f Yakobi matrisl\u0259ri polinomial \u0259msall\u0131 adi diferensial operatorlar\u0131n matris g\u00f6st\u0259rili\u015fi kimi\u201d m\u00f6vzusunda\u00a0\u00dcmuminstitut seminar\u0131 ke\u00e7irilib"},"content":{"rendered":"<p style=\"text-align: justify;\">AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutunun \u00dcmuminstitut seminar\u0131nda M.V.Lomonosov ad\u0131na Moskva D\u00f6vl\u0259t Universitetinin mexanika-riyaziyyat fak\u00fclt\u0259sinin Riyazi analiz kafedras\u0131n\u0131n professoru Qaraxan Mirz\u0259yev \u00a0\u201c\u00dcmumil\u0259\u015fmi\u015f Yakobi matrisl\u0259ri polinomial \u0259msall\u0131 adi diferensial operatorlar\u0131n matris g\u00f6st\u0259rili\u015fi kimi\u201d m\u00f6vzusunda m\u0259ruz\u0259 edib.<br \/>\nM\u0259ruz\u0259 <em>L<sub>2<\/sub><\/em>(-\u221e;+\u221e) f\u0259zas\u0131nda polinomial \u0259msall\u0131 x\u0259tti diferensial ifad\u0259l\u0259rin do\u011furdu\u011fu minimal diferensial operatorlar\u0131n matris g\u00f6st\u0259rili\u015fin\u0259 h\u0259sr olunmu\u015fdur. \u0130rrequlyar diferensial ifad\u0259l\u0259r hal\u0131, y\u0259ni bu ifad\u0259nin y\u00fcks\u0259k t\u0259rtibli t\u00f6r\u0259m\u0259si qar\u015f\u0131s\u0131ndak\u0131 \u0259msal\u0131n\u0131n s\u0131f\u0131ra b\u0259rab\u0259r olan hal\u0131 da ara\u015fd\u0131r\u0131lm\u0131\u015fd\u0131r. Riyazi \u0259d\u0259biyyatdan yax\u015f\u0131 m\u0259lumdur ki, \u00c7eb\u0131\u015fev-Ermit funksiyalar\u0131 bu operatorlar\u0131n matris g\u00f6st\u0259rili\u015finin bazisidir v\u0259 n\u0259tic\u0259d\u0259 \u00fcmumil\u0259\u015fmi\u015f Yakobi matrisl\u0259ri al\u0131n\u0131r (bax. \u0410.\u0413. \u041a\u043e\u0441\u0442\u044e\u0447\u0435\u043d\u043a\u043e, \u041a.\u0410. \u041c\u0438\u0440\u0437\u043e\u0435\u0432\u0430 \/\/ \u0424\u0443\u043d\u043a\u0446. \u0430\u043d\u0430\u043b\u0438\u0437 \u0438 \u0435\u0433\u043e \u043f\u0440\u0438\u043b., 1999, \u0442. 33, \u0432.1, \u0441. 30\u201345). Simmetrik diferensial ifad\u0259l\u0259r hal\u0131nda bel\u0259 g\u00f6st\u0259rili\u015f, m\u0259s\u0259l\u0259n M.Q. Kreyn m\u0259nada defekt \u0259d\u0259di (<em>m,m<\/em>) olan <em>n<\/em> t\u0259rtibli diferensial operatorlar\u0131n tam d\u0259r\u0259c\u0259l\u0259rini qurma\u011fa imkan verir, bel\u0259 ki, <em>m&gt;n<\/em> hal\u0131 da m\u00fcmk\u00fcnd\u00fcr.<br \/>\nM\u0259ruz\u0259d\u0259 h\u0259m\u00e7inin, adi diferensial operatorlar\u0131n spektral n\u0259z\u0259riyy\u0259sind\u0259 h\u0259ll olunmam\u0131\u015f b\u0259zi m\u0259s\u0259l\u0259l\u0259rd\u0259n d\u0259 m\u0259lumat verilmi\u015fdir.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-12567\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"2\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"3\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2017\/05\/04\/umumil%c9%99smis-yakobi-matrisl%c9%99ri-polinomial-%c9%99msalli-adi-diferensial-operatorlarin-matris-gost%c9%99rilisi-kimi-movzusunda-umuminstitut-seminari-kecirilib\/foto-1-3\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto-1.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto-1-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2017\/05\/04\/umumil%c9%99smis-yakobi-matrisl%c9%99ri-polinomial-%c9%99msalli-adi-diferensial-operatorlarin-matris-gost%c9%99rilisi-kimi-movzusunda-umuminstitut-seminari-kecirilib\/foto2-8\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto2.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto2.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto2-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2017\/05\/04\/umumil%c9%99smis-yakobi-matrisl%c9%99ri-polinomial-%c9%99msalli-adi-diferensial-operatorlarin-matris-gost%c9%99rilisi-kimi-movzusunda-umuminstitut-seminari-kecirilib\/foto4-8\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto4.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto4.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto4-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2017\/05\/04\/umumil%c9%99smis-yakobi-matrisl%c9%99ri-polinomial-%c9%99msalli-adi-diferensial-operatorlarin-matris-gost%c9%99rilisi-kimi-movzusunda-umuminstitut-seminari-kecirilib\/foto6-4\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto6.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutu\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto6.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2017\/05\/Foto6-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><\/div>\n<a class=\"carousel-control-prev\" href=\"#carousel-1\" role=\"button\" data-slide=\"prev\">\n    <span class=\"carousel-control-prev-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Previous<\/span>\n  <\/a>\n\n      <a class=\"carousel-control-next\" href=\"#carousel-1\" role=\"button\" data-slide=\"next\">\n    <span class=\"carousel-control-next-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Next<\/span>\n  <\/a>\n    \n    <\/div><\/div>\n<p><em>\u00a9 B\u00fct\u00fcn h\u00fcquqlar qorunur. X\u0259b\u0259rl\u0259rd\u0259n istifad\u0259 ed\u0259rk\u0259n www.imm.az sayt\u0131na istinad z\u0259ruridir.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutunun \u00dcmuminstitut seminar\u0131nda M.V.Lomonosov ad\u0131na Moskva D\u00f6vl\u0259t Universitetinin mexanika-riyaziyyat fak\u00fclt\u0259sinin Riyazi analiz kafedras\u0131n\u0131n professoru Qaraxan Mirz\u0259yev \u00a0\u201c\u00dcmumil\u0259\u015fmi\u015f Yakobi matrisl\u0259ri polinomial \u0259msall\u0131 adi diferensial operatorlar\u0131n matris g\u00f6st\u0259rili\u015fi kimi\u201d m\u00f6vzusunda m\u0259ruz\u0259 edib. M\u0259ruz\u0259 L2(-\u221e;+\u221e) f\u0259zas\u0131nda polinomial \u0259msall\u0131 x\u0259tti diferensial ifad\u0259l\u0259rin do\u011furdu\u011fu minimal diferensial operatorlar\u0131n matris g\u00f6st\u0259rili\u015fin\u0259 h\u0259sr olunmu\u015fdur. \u0130rrequlyar diferensial ifad\u0259l\u0259r hal\u0131, y\u0259ni [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75,77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12567"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=12567"}],"version-history":[{"count":2,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12567\/revisions"}],"predecessor-version":[{"id":12602,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12567\/revisions\/12602"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=12567"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=12567"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=12567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}