Sample solutions of stochastic boundary value problems∗

DOI10.1080/07362998508809057zbMath0566.60058OpenAlexW2074086569MaRDI QIDQ3681672

Klaus Deimling, Vangipuram Lakshmikantham, Gangaram S. Ladde

Publication date: 1985

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/2465

zbMATH Keywords

existence theoremsmeasurable selectionsextensions of classical comparison techniquesstochastic Sturm-Liouville problems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (11)

A class of random variational inequalities and simple random unilateral boundary value problems - existence, discretization, finite element approximation ⋮ Random fixed point theory for multivalued maps ⋮ RANDOM FIXED POINT THEORY FOR MULTIVALUED COUNTABLY CONDENSING RANDOM OPERATORS ⋮ Periodic sample solutions of second order ode's ⋮ Error estimates for random boundary value problems with applications to a hanging cable problem ⋮ On the method of upper and lower solutions for discontinuous boundary value problems ⋮ Solvability of a class of integral inclusions ⋮ Random fixed point theory with applications ⋮ On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham

Cites Work

• Unnamed Item
• An introduction to nonlinear boundary value problems
• On the fundamental theory of nonlinear second order stochastic boundary value problems
• Stochastic Analysis of a Compressible Gas Lubrication Slider Bearing Problem
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Fixed point theorems in probabilistic analysis

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