Approximation of solutions for nonlinear problems with an application to the study of aneurysms of the circle of Willis

DOI10.1016/S0362-546X(00)85030-0zbMath0980.34012OpenAlexW2032724136WikidataQ60199466 ScholiaQ60199466MaRDI QIDQ1570948

Angela Torres, Juan. J. Nieto

Publication date: 22 February 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)85030-0

zbMATH Keywords

nonlinear boundary value problemmonotone iterative techniqueaneurysm

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Biomechanics (92C10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• On approximate solutions to some nonlinear diffusion problems
• Fixed point results in ordered normed spaces with applications to abstract and differential equations
• Existence, uniqueness, and approximation of solutions to some nonlinear diffusion problems
• Approximate solutions to a new class of nonlinear diffusion problems
• Monotone-iterative techniques of Lakshmikantham for a boundary value problem for systems of differential equations with maxima
• Biomathematical model of aneurysm of the circle of Willis. I: The Duffing equation and some approximate solutions
• An abstract monotone iterative technique
• Nonlinear elliptic boundary-value problems in unbounded domains
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