The purpose of this paper is to obtain an existence result for the integral equation u (t) = Ï† (t, u (t)) + âˆ« b a Ïˆ (t, s, u (s)) ds, t âˆˆ [a, b] where Ï† : [a, b]Ã—R â†’ R and Ïˆ : [a, b]Ã— [a, b]Ã—R â†’ Râ€¦ (More)

In this paper we define weak and strong extensions of a linear operator A : D(A) âŠ‚ E â†’ F, where E and F are topological vector spaces. By counter examples we stand out the difficulties which occur inâ€¦ (More)

This paper is concerned with existence results for inequality problems of type F0(u;v) + Î¨â€²(u;v) â‰¥ 0, for all v âˆˆ X , where X is a Banach space, F : X â†’ R is locally Lipschitz, and Î¨ : X â†’ (âˆ’âˆž+âˆž] isâ€¦ (More)

is a vector version of p-Laplacian operator. In order to say what we understand by solution for the problem (1.1), (1.2) we remind some basic results concerning the W 1,p T -spaces. Let C T be theâ€¦ (More)