Unimprovable estimates of solutions for some classes of integral inequalities
Abstract
In this paper the method of obtaining unimprovable (in certain sense) estimates of solutions of some integral inequalities with the operators of Volterra type is stated. The basis of this method is the theory of monotone operators in partially ordered Banach spaces. This theory allows us to reduce obtaining these estimates to solving corresponding equations. The paper consists of two parts. The first part is devoted to unimprovable estimates of solutions for linear multidimensional inequalities. In the second part the author states nonlinear inequalities which arise while researching multilinear Volterra equations of the first kind connected with modelling nonlinear dynamic systems of black body type by Volterra polynomials.
© de Gruyter 2008
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- Localization algorithms for singularities of solutions to convolution equations of the first kind
- Unimprovable estimates of solutions for some classes of integral inequalities
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Articles in the same Issue
- Localization algorithms for singularities of solutions to convolution equations of the first kind
- Unimprovable estimates of solutions for some classes of integral inequalities
- Relative computational efficiency of iteratively regularized methods
- Uniqueness of solution to an inverse problem for a semilinear system of partial differential equations
- Quasi-solution in inverse coefficient problems
- Inverse nodal problems for Sturm–Liouville operators on star-type graphs
- Fifth International Conference. Algorithmic Analysis of Unstable Problems (AAUP-2008)
