Analytic solutions for nonlinear differential equations

DOI10.1016/0022-247X(87)90004-7zbMath0643.34008MaRDI QIDQ1101863

Evangelos K. Ifantis

Publication date: 1987

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

zbMATH Keywords

fixed point theoryanalytic solutionsbifurcation techniques

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (12)

Existence and uniqueness of solutions in \(H_{1}(\Delta)\) of a general class of non-linear functional equations ⋮ Global analytic solutions of the radial nonlinear wave equation ⋮ Analytic bounded travelling wave solutions of some nonlinear equations. II ⋮ A ``discretization technique for the solution of ODEs ⋮ A discrete equivalent of the logistic equation ⋮ Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems ⋮ Analytic solutions of a class of linear and nonlinear functional equations ⋮ Exact analytic solutions of Schrödinger linear and nonlinear equations ⋮ Analytic bounded travelling wave solutions of some nonlinear equations ⋮ A “Discretization” Technique for the Solution of ODEs II ⋮ On the Logistic Equation in the Complex Plane ⋮ A functional-analytic technique for the study of analytic solutions of PDEs

Cites Work

• An existence theory for functional-differential equations and functional- differential systems
• Sufficient conditions for boundedness of solutions of linear differential equations
• On a Nonlinear Bessel Equation
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