Bilateral multivalued stochastic integral equations with weakening of the Lipschitz assumption

Malinowski, Marek T.

doi:10.1016/j.bulsci.2021.103041

Bulletin des Sciences Mathématiques

2021

DOI: 10.1016/j.bulsci.2021.103041

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Bilateral multivalued stochastic integral equations with weakening of the Lipschitz assumption

Marek T. Malinowski

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2022

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Symmetric Functional Set-Valued Integral Equations and Bihari–LaSalle Inequality

Malinowski

2022

Symmetry

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In the paper, we consider functional set-valued integral equations whose representation contains set-valued integrals occurring symmetrically on both sides of the equation. On the coefficients of the equation, we impose certain conditions, more general than the standard Lipschitz condition, which allow the application of the Bihari–LaSalle inequality in the proofs of the obtained theorems. In this way, we obtain a result about the existence and uniqueness of the solution of the equation under consideration and the insensitivity of the solution in the case of minor changes in the parameters of the equation.

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Symmetric Functional Set-Valued Integral Equations and Bihari–LaSalle Inequality

Malinowski

2022

Symmetry

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Bilateral multivalued stochastic integral equations with weakening of the Lipschitz assumption

Cited by 1 publication

References 19 publications

Symmetric Functional Set-Valued Integral Equations and Bihari–LaSalle Inequality

Symmetric Functional Set-Valued Integral Equations and Bihari–LaSalle Inequality

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