Existence of solutions for delay evolution equations with nonlocal conditions

• Autorzy: Xuping Zhang , Yongxiang Li
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Evolution equation; Nonlocal conditions; Delay; Mild solution; Kuratowski measure of noncompactness; Equicontinuous semigroup

Kategorie tematyczne

• 34K30: Equations in abstract spaces
• 35D35: Strong solutions
• 34G20: Nonlinear equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 616-627

Daty

wydano

2017-01-01

otrzymano

2016-12-31

zaakceptowano

2017-01-26

online

2017-05-20

Twórcy

autor

Xuping Zhang

• , , , ,

autor

Yongxiang Li

• , , , ,

Identyfikatory

DOI

10.1515/math-2017-0055