Uniqueness of linear boundary value problems for 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.
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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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For the third order differential equation, y′′′ = f(x, y, y′, y′′), we consider uniqueness implies existence results for solutions satisfying the nonlocal 4-point boundary conditions, y(x1) = y1, y(x2) = y2, y(x3)− y(x4) = y3. Uniqueness of solutions of such boundary value problems is intimately related to solutions of the third order equation satisfying certain nonlocal 3-point boundary condit...
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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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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1978
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1978.75.107