The quasilinearization method for boundary value problems on time scales

DOI10.1016/S0022-247X(02)00466-3zbMath1021.34006OpenAlexW1975115256MaRDI QIDQ1856985

F. Merdivenci Atici, Billur Kaymakçalan, Paul W. Eloe

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00466-3

zbMATH Keywords

quasilinearizationboundary value problemtime scale

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Difference equations, scaling ((q)-differences) (39A13) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (12)

Compactness criteria and new impulsive functional dynamic equations on time scales ⋮ Existence results for singular three point boundary value problems on time scales ⋮ Three positive periodic solutions to nonlinear neutral functional differential equations with impulses and parameters on time scales ⋮ Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales ⋮ Existence and approximation of solution of three-point boundary value problems on time scales ⋮ Approximation of solution of some \(m\)-point boundary value problems on time scales ⋮ Permanence and almost periodic solutions for \(N\)-species nonautonomous Lotka-Volterra competitive systems with delays and impulsive perturbations on time scales ⋮ Multiple positive solutions for the one-dimensional \(p\)-Laplacian dynamic equations on time scales ⋮ The generalized quasilinearization method and three point boundary value problems on time scales ⋮ Weighted pseudo-almost periodic solutions for shunting inhibitory cellular neural networks on time scales ⋮ Existence results for second-order impulsive boundary value problems on time scales ⋮ A quasilinearization approach for two point nonlinear boundary value problems on time scales

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic calculus on time scales and some of its applications
• On Green's functions and positive solutions for boundary value problems on time scales
• The method of quasilinearization and dynamic equations on compact measure chains
• Second-order periodic boundary value problems on time scales
• Generalized quasilinearization method for second-order boundary value problems
• A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations
• Differential and difference calculus — Unified!
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