Two sorts of boundary-value problems of nonlinear third order differential equations
Two sorts of nonlinear third order boundary-value problems are solved and the existence of eigenvalues and eigenfunctions is proved.
Two-mode bifurcation in solution of a perturbed nonlinear fourth order differential equation
In this paper, we are interested in the study of bifurcation solutions of nonlinear wave equation of elastic beams located on elastic foundations with small perturbation by using local method of Lyapunov-Schmidt.We showed that the bifurcation equation corresponding to the elastic beams equation is given by the nonlinear system of two equations. Also, we found the parameters equation of the Discriminant set of the specified problem as well as the bifurcation diagram.
Two-parametric conditionally oscillatory half-linear differential equations.
Two-point boundary problem in a second order nonhomogeneous linear differential equation
Two-point boundary value problems for higher-order linear differential equations with strong singularities.
Two-point boundary value problems for nonlinear perturbations of some singular linear differential equations at resonance
Two-point boundary value problems for second order functional differential equations.
Two-point boundary value problems for second order systems
Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
We investigate the fractional differential equation u″ + A c D α u = f(t, u, c D μ u, u′) subject to the boundary conditions u′(0) = 0, u(T)+au′(T) = 0. Here α ∈ (1, 2), µ ∈ (0, 1), f is a Carathéodory function and c D is the Caputo fractional derivative. Existence and uniqueness results for the problem are given. The existence results are proved by the nonlinear Leray-Schauder alternative. We discuss the existence of positive and negative solutions to the problem and properties of their derivatives....
Two-point boundary value problems involving reflection of the argument.
Two-point functional boundary value problems without growth restrictions
Two-points boundary value problems for Carathéodory second order equations
Using a suitable version of Mawhin’s continuation principle, we obtain an existence result for the Floquet boundary value problem for second order Carathéodory differential equations by means of strictly localized bounding functions.
Two-sided approximation to periodic solutions of ordinary differential equations.
Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function
Tеоремы существования неотрицательных периодических решений конечных и счетных систем дифференциальных уравнений и теорема существования решений счетных систем дифференциальных уравнений