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Abstract. In this paper the unique existence and regularity of the weak solution of an initial-boundary value problem relating to a semi-linear wave equation and two integral equations at the boundaries are given.

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Established in 1997, Ton Duc Thang University (TDTU) is now among the best universities in Vietnam for all aspects, after 20 years of development. With sixteen faculties of multi-disciplines and around 25,000 students, TDTU has made lots of achievements. In 2017, TDTU is ranked 245th in the world (and ranked 1st in Vietnam) on Sustainable Development by UI GreenMetric World University Rankings (UI GreenMetric); ranked 1st among universities in Vietnam for high-quality research outputs by Nature Index; ranked 2nd among universities in Vietnam (and ranked 1st in research category) by Xephangdaihoc, a group of independent experts of Vietnam. Sustainability is of TDTU’s focus. This paper shortly discussed TDTU’s latest achievements on sustainability, and then focused on issues and innovation in managing waste at Ton Duc Thang University.