Existence Theorems for Nonlinear Differential Equations with Pseudomonotone Operators in Banach Spaces

Luisa Toscano

doi:10.15866/irease.v16i2.23619

Existence Theorems for Nonlinear Differential Equations with Pseudomonotone Operators in Banach Spaces

Luisa Toscano^(1*)

^(*) Corresponding author

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DOI: https://doi.org/10.15866/irease.v16i2.23619

Abstract

This paper is devoted to prove the existence theorems for nonlinear differential equations with pseudomonotone operators in B spaces. Moreover, it analyses the functional-analytic properties of such solutions by using Galerkin’s method. At the end, the paper extends the proposed method also to λ0-prseudomonotone operators.
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Keywords

Nonlinear Differential Equations; Pseudomonotone Operator; λ0-Pseudomonotone Operator

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References

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