Variational inclusions for a Sturm-Liouville type differential inclusion
نویسندگان
چکیده
منابع مشابه
Continuous Version of Filippov’s Theorem for a Sturm-liouville Type Differential Inclusion
Using Bressan-Colombo results, concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove a continuous version of Filippov’s theorem for a SturmLiuoville differential inclusion. This result allows to obtain a continuous selection of the solution set of the problem considered.
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Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.
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We consider the fourth order boundary value problem (ry′′)′′+(py′)′+ qy = λwy, y(a) = y′(a) = y(b) = y′(b) = 0, which is used in a variety of physical models. For such models, the extremal values of the smallest eigenvalue help answer certain optimization problems, such as maximizing the fundamental frequency of a vibrating elastic system or finding the tallest column that will not buckle under...
متن کاملStudies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
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متن کاملSturm-liouville Problems
Regular and singular Sturm-Liouville problems (SLP) are studied including the continuous and differentiable dependence of eigenvalues on the problem. Also initial value problems (IVP) are considered for the SL equation and for general first order systems.
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2010
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2010.140694