This paper is devoted to the L p (p > 1) solutions of one-dimensional backward stochastic differential equations (BSDEs for short) with general time intervals and generators satisfying some non-uniform conditions in t and ω. An existence and uniqueness result, a comparison theorem and an existence result for the minimal solutions are respectively obtained, which considerably improve some known works.Some classical techniques used to deal with the existence and uniqueness of L p (p > 1) solutions of BSDEs with Lipschitz or linear-growth generators are also developed in this paper.

Explosive lining is a new method to construct underground space in soil. By making the most of compressibility of soil and thixotropy of concrete under explosive loading, this method offers an efficient path to form a cavity and its concrete support layer synchronously. In order to investigate the forming effect, a series of contrastive laboratory tests, including explosive lining method and conventional explosive compaction method, were performed under same soil and explosive conditions. Results show that measured dynamic stress and displacement by explosive lining method are higher than that of by conventional explosive compaction method under same equivalent radius, and the range of compact region in soil is larger too. Similarly, the physical and mechanical performance indexes of soil, such as water content and cohesion are superior to that of by conventional explosive compaction. It is approved that an even thickness concrete support layer can be formed in one-shot forming process by explosive lining, and there is no evident cranny region in the soil around the cavity.

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