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Existence of solutions for delay evolution equations with nonlocal conditions

100%

Zhang X., Li Y.

Open Mathematics

2017

tom 15

nr 1

616-627

In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results of mild solutions without the assumption of compactness on the associated semigroup. Our results improve and generalize some related conclusions on this issue. Moreover, we present an example to illustrate the application of the main results.

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

84%

Guliyev V. S., Omarova M. N.

Open Mathematics

2016

tom 14

nr 1

49-61

We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w), than the strong solution belongs to the generalized weighted Sobolev- Morrey space [...] W˙2,1p,φ(Q,ω)$\dot W_{2,1}^{p,\varphi }\left( {Q,\omega } \right)$.

Ograniczanie wyników

2 Open Mathematics

1 Guliyev V. S.

1 Li Y.

1 Omarova M. N.

1 Zhang X.

1 2017

1 2016

Wyniki wyszukiwania

Existence of solutions for delay evolution equations with nonlocal conditions

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces