| 摘要: |
| 本文研究了Banach空间中抽象中立型偏微分方程伪S-渐近ω-周期温和解的存在性.利用Banach压缩映射原理,得到了该类方程伪S-渐近ω-周期温和解的存在性和唯一性.推广了中立型偏微分方程周期温和解的相关结论. |
| 关键词: 伪S-渐近ω-周期函数 温和解 中立型偏微分方程 |
| DOI： |
| 分类号:O175.2 |
| 基金项目: |
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| PSEUDO S-ASYMPTOTICALLY PERIODIC SOLUTIONS OF PARTIAL NEUTRAL DIFFERENTIAL EQUATIONS |
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LIU Jing-huai, ZHANG Li-tao
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School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China
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| Abstract: |
| In this paper, we study the existence of pseudo S-asymptotically ω-periodic mild solutions of abstract partial neutral differential equations in Banach spaces. By using the principle of Banach contractive mapping, the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of abstract partial neutral differential equations are obtained. To illustrate the abstract result, a concrete example is given. |
| Key words: pseudo S-asymptotically ω-periodic function mild solution partial neutral differential equations |
