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We prove Whitney regularity results for the solutions of the coboundary equation over dynamically defined Cantor sets satisfying a natural geometric regularity condi- tion, in
AND O RTEGA R., Bounded solutions of second order semi- linear evolution equations and applications to the telegraph equation, J.. AND O RTEGA R., Global asymptotic stability of
The same technique used above reduces equation ( 8 ) to finding integral points on a family of elliptic curves.. If m remains bounded over an infinity of solutions, it then follows
Key words and phrases: Boundary value problem, lower and upper solutions, ordi- nary differential equation, higher order, positive solution, perturbation methods, fixed point..
[7] Diamandescu, A.: On Ψ - bounded solutions of a Lyapunov matrix differential equation, Electronic Journal of Qualitative Theory of Differential Equations, Vol.2009(2009),
In view of the impor- tance of the equation studied in [1], Pachpatte [10, 11, 12] has studied the existence uniqueness and other properties of solutions of more general
Ortega, Bounded solutions of second-order semilinear evo- lution equations and applications to the telegraph equation.. Amann, Linear and Quasilinear Parabolic Problems , Birkh¨
Error analysis is made for the regular Delaunay triangulation involving obtuse triangles separated, to prove optimal convergence rates of the approximate solutions obtained.. The