Solution estimates for a system of nonlinear integral equations arising in optometry
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Publication:1751564
DOI10.1216/JIE-2018-30-1-167zbMath1395.45011OpenAlexW2801950669MaRDI QIDQ1751564
Wojciech Okrasiński, Łukasz Płociniczak
Publication date: 25 May 2018
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1523347343
Nonlinear boundary value problems for ordinary differential equations (34B15) Systems of nonlinear integral equations (45G15)
Related Items (5)
Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry ⋮ Solvability of an infinite system of nonlinear integral equations of Volterra-Hammerstein type ⋮ On solutions of an infinite system of nonlinear integral equations on the real half-axis ⋮ Numerical method for Volterra equation with a power-type nonlinearity ⋮ Numerical solution of nonlinear integral equation arising in optometry
Cites Work
- Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape
- A nonlinear mathematical model of the corneal shape
- A one-dimensional prescribed curvature equation modeling the corneal shape
- Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations
- Bessel function model of corneal topography
- On a nonlinear boundary value problem modeling corneal shape
- Applications of total positivity theory to 1D prescribed curvature problems
- The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions
- Nonlinear parameter identification in a corneal geometry model
- Regularization of an ill-posed problem in corneal topography
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