On the positivity and zero crossings of solutions of stochastic Volterra integrodifferential equations

DOI10.1155/2010/508217zbMath1203.45008OpenAlexW2091726690WikidataQ58651258 ScholiaQ58651258MaRDI QIDQ606239

John A. D. Appleby

Publication date: 16 November 2010

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226213

zbMATH Keywords

positive solutionsconvolution integralzero crossingsnonlinear stochastic Volterra integrodifferential equations of Itô type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Stochastic integral equations (60H20) Positive solutions of integral equations (45M20) Random integral equations (45R05)

Cites Work

• Delay differential equations: with applications in population dynamics
• On oscillations of the geometric Brownian motion with time-delayed drift
• Necessary and sufficient conditions for zero crossing in integrodifferential equations
• Positive solutions of integro-differential equations with unbounded delay
• The European option with hereditary price structures
• Stability of epidemic model with time delays influenced by stochastic perturbations
• Numerical investigation of noise-induced resonance in a semiconductor laser with optical feedback
• Oscillation and non-oscillation in solutions of nonlinear stochastic delay differential equations
• Numerical modelling in biosciences using delay differential equations
• Bounded oscillations under the effect of retardations for differential equations of arbitrary order
• Complete Models with Stochastic Volatility
• Capsize criteria for ship models with memory-dependent hydrodynamics and random excitation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item