UPPER AND LOWER SOLUTIONS METHOD FOR IMPULSIVE DIFFERENTIAL INCLUSIONS WITH NONLINEAR BOUNDARY CONDITIONS
نویسندگان
چکیده
منابع مشابه
The Lower and Upper Solutions Method for First Order Differential Inclusions with Nonlinear Boundary Conditions
In this paper a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order differential inclusions with general nonlinear boundary conditions.
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The first steps in the theory of lower and upper solutions have been given by Picard in 1890 1 for Partial Differential Equations and, three years after, in 2 for Ordinary Differential Equations. In both cases, the existence of a solution is guaranteed from a monotone iterative technique. Existence of solutions for Cauchy equations have been proved by Perron in 1915 3 . In 1927, Müller extended...
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ژورنال
عنوان ژورنال: Dynamic Systems and Applications
سال: 2018
ISSN: 1056-2176
DOI: 10.12732/dsa.v27i2.11