Existence theorems for a nonlinear second-order distributional differential equation
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Publication:6285962
DOI10.1016/J.JKSUS.2017.04.009arXiv1704.08009WikidataQ60224186 ScholiaQ60224186MaRDI QIDQ6285962
Wei Liu, Dafang Zhao, Delfim F. M. Torres, Guoju Ye
Publication date: 26 April 2017
Abstract: In this work, we are concerned with existence of solutions for a nonlinear second-order distributional differential equation, which contains measure differential equations and stochastic differential equations as special cases. The proof is based on the Leray--Schauder nonlinear alternative and Kurzweil--Henstock--Stieltjes integrals. Meanwhile, examples are worked out to demonstrate that the main results are sharp.
Nonlinear boundary value problems for ordinary differential equations (34B15) Measures and integration on abstract linear spaces (46G12) Denjoy and Perron integrals, other special integrals (26A39)
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