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Titlebook: Nonlinear Analysis and Boundary Value Problems; NABVP 2018, Santiago Iván Area,Alberto Cabada,Rosana Rodríguez-López Conference proceedings

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Differentiability Properties of Solutions of a Second-Order Evolution Inclusion,efined by the contingent cone, the quasitangent cone and Clarke’s tangent cone. Our results may be interpreted as extensions to a special class of second-order differential inclusions of the classical Bendixson–Picard–Lindelőf theorem concerning the differentiability of the maximal flow of a differential equation.
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How to Analytically Prove the Existence of Strange Attractors Using Measure Theory, when studying the unfolding of homoclinic tangencies for certain class of three dimensional diffeomorphisms. We also prove the existence, for each natural number .,  of an open set of parameters in which the respective transformation exhibits at least . two-dimensional strange attractors.
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Initial Problems for Semilinear Degenerate Evolution Equations of Fractional Order in the Sectorialof the Cauchy problem for the semilinear equation solved with respect to the fractional derivative is researched, when the linear operator in the equation generates a resolving family of operators which is analytic in a sector. Then equation with degenerate operator at the Caputo derivative is consi
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Solvability for ,th Order Coupled Systems with Full Nonlinearities,wer and upper solutions method, together with Leray-Schauder’s degree theory. They provide general methods and techniques to ensure the solvability of such systems, and, moreover, to localize the solutions and some of its derivatives. In this way, the paper generalizes the results existent in the li
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Semilinear Equations in Banach Spaces with Lower Fractional Derivatives,st fractional Caputo derivative semilinear fractional order equation with nonlinear operator, depending on the lower Caputo derivatives. Abstract result is applied to study of an initial-boundary value problem to a modified Oskolkov–Benjamin–Bona–Mahony–Burgers nonlinear equation with time-fractiona
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