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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA372. FCT 96819 (Browse shelf) | 1 | Available |
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QA371.SPR FCT 82977 Theory of causal differential equations | QA371.SPR FCT 95651 An introduction to ordinary differential equations | QA371.5.SPR FCT 82214 Approximate and renormgroup symmetries | QA372. FCT 96819 Differential equations with involutions | QA372. FCT 98156 Topology, calculus and approximation | QA372.SPR FCT 104560 Generalized Lorenz-Mie theories | QA372.SPR FCT 80925 Functional equations and inequalities with applications |
Colocação: Online
This monograph covers the existing results regarding Green’s functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green’s functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties. Obtaining a Green’s function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.
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