A generalized Gronwall–Bellman–Ou–Iang type inequality for discontinuous functions and applications to BVP

About a generalization of Bellman–Bihari

About a generalization of Bellman–Bihari type inequalities for discontinuous functions and their applications

✍ Yu.A. Mitropolskiy; G. Iovane; S.D. Borysenko 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 320 KB

In the present paper we introduce the conditions of solvability for Chaplygin's problem with discontinuous functions in two independent variables, satisfying integro-sum inequalities. The new type of nonlinear integral and Wendroff's inequality for discontinuous functions are investigated. As applic