Some boundary value problems for linear differential systems
نویسندگان
چکیده
منابع مشابه
Solutions for some non-linear fractional differential equations with boundary value problems
In recent years, X.J.Xu [1] has been proved some results on mixed monotone operators. Following the paper of X.J.Xu, we study the existence and uniqueness of the positive solutions for non-linear differential equations with boundary value problems.
متن کاملSome Boundary Value Problems for Linear Differential Systems1
and prove: Theorem A. If, for each i and j (líkiíkn, l^jen,Í7¿j),aijainajn>0 and aina„i>0 on [a, b], the problem (1) has a unique solution; Theorem B. Under certain conditions on A(t), too lengthy to give here, the problem (2) has a unique solution. The authors note that Theorem A has a dual in which the roles of a and b are interchanged, provided that at¿a<nayn<0 is assumed. The purpose here i...
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1 Department of Mathematics, Faculty of Science, University of Žilina, Univerzitná 8215/1, 01026 Žilina, Slovakia 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkovskaya Str. 3, 01601 Kyiv, Ukraine 3 Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Veveřı́ 331/95, 60200 Brno, Czech Republic 4 Departme...
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Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1963
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1963-0160959-4