Renewal equation on the whole line

DOI10.1016/S0304-4149(99)00076-9zbMath0997.60096MaRDI QIDQ1613592

Norair B. Yengibarian

Publication date: 29 August 2002

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

zbMATH Keywords

Volterra integral equationscomplete form of Karlin's theoremrenewal equation on the whole line

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Volterra integral equations (45D05) Renewal theory (60K05)

Related Items (3)

Stone’s decomposition of the renewal measure via Banach-algebraic techniques ⋮ One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations ⋮ On positive solutions of one class of nonlinear integral equations of Hammerstein–Nemytskiĭ type on the whole axis

Cites Work

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• Conditional Markov renewal theory. I. Finite and denumerable state space
• New theorems for the renewal integral equation
• Convolution equations and nonlinear functional equations
• Extension of a renewal theorem
• INTEGRAL EQUATIONS ON THE HALF-LINE WITH DIFFERENCE KERNELS, AND NONLINEAR FUNCTIONAL EQUATIONS
• Convolution equations containing singular probability distributions
• Renewal equations on the semi-axis
• On Characteristic Functions and Renewal Theory
• On Absolutely Continuous Components and Renewal Theory

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