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 applications, the conditions of boundedness solutions of partial differential equations of hyperbolic type with impulse influence on some hypersurfaces {Γj} ⊂ R2 are obtained. Some historical aspects of the theory of integrosum inequalities are presented.
About a generalization of Bellman-Bihari-Type inequalities for discontinuous functions and their applications
IOVANE, Gerardo;
2007-01-01
Abstract
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 applications, the conditions of boundedness solutions of partial differential equations of hyperbolic type with impulse influence on some hypersurfaces {Γj} ⊂ R2 are obtained. Some historical aspects of the theory of integrosum inequalities are presented.File in questo prodotto:
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