Existence Theorem for Noninstantaneous Impulsive Evolution Equations | Zendy

Gul I Hina Aslam | Zendy; Amjad Ali | Zendy; M. Rafiq | Zendy

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Existence Theorem for Noninstantaneous Impulsive Evolution Equations

Author(s) -

Gul I Hina Aslam,

Amjad Ali,

M. Rafiq

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5539306

Subject(s) - mathematics , uniqueness , constructive , picard–lindelöf theorem , order (exchange) , uniqueness theorem for poisson's equation , mathematical analysis , pure mathematics , fixed point theorem , process (computing) , finance , computer science , economics , operating system

In this note, the variational form of the classical Lax–Milgram theorem is used for the divulgence of variational structure of the first-order noninstantaneous impulsive linear evolution equation. The existence and uniqueness of the weak solution of the problem is obtained. In future, this constructive theory can be used for the corresponding semilinear problems.

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