Random contractors and the solution of random nonlinear equations

DOI10.1016/0362-546X(77)90008-6zbMath0347.60045MaRDI QIDQ4117187

Arthur C. H. Lee, W. J. Padgett

Publication date: 1977

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Equations involving nonlinear operators (general) (47J05) Stochastic integral equations (60H20)

Related Items

Stability of a class of stochastic differential systems ⋮ On set-valued nonlinear equations in Menger probabilistic normed spaces ⋮ Random directional contractors and their applications ⋮ Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations ⋮ \((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces ⋮ Random step contractors and Matkowski's fixed point theorem ⋮ Random contractors with random nonlinear majorant functions ⋮ Probabilistic contractor couple and solutions for a system of nonlinear equations in non-Archimedean Menger probabilistic normed spaces ⋮ Existence, uniqueness and approximation of solutions for a system of nonlinear random operator equations ⋮ Existence of solutions of nonlinear stochastic Volterra Fredholm integral equations of mixed type ⋮ \(\Phi\)-contractor and the solutions for nonlinear operator equations in fuzzy normed spaces ⋮ Solution of random operator equations by random step-contractors ⋮ A note on probabilistic contractor couple and solutions for a system of nonlinear equations in N. A. Menger PN-spaces ⋮ Approximate solution of random integral equations: General methods

Cites Work

• Random integral equations
• Random differential equations in science and engineering
• Random integral equations with applications to life sciences and engineering
• On a stochastic integral equation of the Volterra type
• On a Nonlinear Stochastic Integral Equation of the Hammerstein Type
• Inverse differentiability contractors and equations in Banach spaces
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