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On the existence of canard solutions

Daniel Panazzolo (2000)

Publicacions Matemàtiques

We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.

On the existence of chaotic behaviour of diffeomorphisms

Michal Fečkan (1993)

Applications of Mathematics

For several specific mappings we show their chaotic behaviour by detecting the existence of their transversal homoclinic points. Our approach has an analytical feature based on the method of Lyapunov-Schmidt.

On the existence of multiple periodic solutions for the vector p -Laplacian via critical point theory

Haishen Lü, Donal O'Regan, Ravi P. Agarwal (2005)

Applications of Mathematics

We study the vector p -Laplacian - ( | u ' | p - 2 u ' ) ' = F ( t , u ) a.e. t [ 0 , T ] , u ( 0 ) = u ( T ) , u ' ( 0 ) = u ' ( T ) , 1 < p < . ( * ) We prove that there exists a sequence ( u n ) of solutions of ( * ) such that u n is a critical point of ϕ and another sequence ( u n * ) of solutions of ( * ) such that u n * is a local minimum point of ϕ , where ϕ is a functional defined below.

Currently displaying 261 – 280 of 567