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🔗 Source: ajmaa.org
📊 Size: 239 KB
📄 Pages: 23 pages
⬇️ Downloads: 346

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The Australian Journal of Mathematical Analysis and Applications discusses linear Volterra integral equations with convolution kernels. The paper presents theorems and proofs regarding the properties of solutions to these equations, including positivity, boundedness, and monotonicity. Specifically, it explores the relationships between the solutions of different equations and derives inequalities among these solutions. The authors provide examples and demonstrate the application of their theorems to specific cases. The paper also introduces new functions, such as L2, L3, and Ln, which can be obtained from the kernel K and satisfy certain conditions. The main results include Theorem 1, which establishes inequalities for the solution of a given equation, and Theorem 2, which provides conditions for the existence of a function L2 that satisfies certain properties. The paper concludes by highlighting the significance of these findings in the context of linear Volterra integral equations.

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The Australian Journal of Mathematical Analysis and Applications discusses linear Volterra integral equations with convolution kernels.

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  • File Format: PDF
  • File Size: 239 KB
  • Pages: 23
  • Language: EN
  • Total Downloads: 346
  • Last Updated: 7 days ago

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