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利用压缩映射原理证明了方程utt-autt-βuxxtt=φ(ux)x的第三初边值问题局部古典解的存在性和唯一性。利用解的延拓法证明了上述问题的整体古典解的存在性和唯一性。
一类非线性四阶波方程的第三初边值问题
【摘 要】
：
利用压缩映射原理证明了方程utt-autt-βuxxtt=φ(ux)x的第三初边值问题局部古典解的存在性和唯一性。利用解的延拓法证明了上述问题的整体古典解的存在性和唯一性。
【机 构】
：
郑州大学数学系
【出 处】
：
郑州大学学报：自然科学版
【发表日期】
：
2001年4期
【基金项目】
：
国家自然科学基金 ( 10 0 710 74),,河南省自然科学基金资助项目
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