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Existence Theorem for Noninstantaneous Impulsive Evolution Equations

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  • Gul I Hina Aslam
  • Amjad Ali
  • Maimona Rafiq
  • Ali Jaballah

Abstract

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.

Suggested Citation

  • Gul I Hina Aslam & Amjad Ali & Maimona Rafiq & Ali Jaballah, 2021. "Existence Theorem for Noninstantaneous Impulsive Evolution Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-4, July.
    • Handle: RePEc:hin:jjmath:5539306
    DOI: 10.1155/2021/5539306
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