Results 71 to 80 of about 727 (127)

A new approach for solving Bratu’s problem

Demonstratio Mathematica, 2019
A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
doaj   +1 more source

Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems

Advances in Differential Equations, 2014
In this paper, we deal with the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems. By using the dual fountain theorem, we give some new criteria to guarantee that the second-order Hamiltonian systems have ...
Huiwen Chen, Zhimin He
semanticscholar   +1 more source

Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces

, 2011
We establish new coincidence point theorems for nonlinear contraction in ordered metric spaces. Also, we introduce an example to support our results. Some applications of our obtained results are given.MSC: 54H25; 47H10; 54E50; 34B15.
W. Shatanawi, Z. Mustafa, N. Tahat
semanticscholar   +1 more source

Variational approach to Kirchhoff-type second-order impulsive differential systems

Open Mathematics
In this study, we consider a Kirchhoff-type second-order impulsive differential system with the Dirichlet boundary condition and obtain the existence and multiplicity of solutions to the impulsive problem via variational methods.
Yao Wangjin, Zhang Huiping
doaj   +1 more source

Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]

Bound Value Probl, 2023
Li C.
europepmc   +1 more source

The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain

Nonlinear Engineering, 2017
A new collocation method, namely the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) collocation method, is given for solving some nonlinear boundary value problems in the semi-infinite domain, such as equations of the unsteady
Parand Kourosh, Delkhosh Mehdi
doaj   +1 more source

A Taylor-type numerical method for solving nonlinear ordinary differential equations

Alexandria Engineering Journal, 2013
A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
doaj   +1 more source

Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions

Open Mathematics, 2020
In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha, Ntouyas Sotiris K., Tariboon Jessada   +2 more
doaj   +1 more source

Positive solutions for impulsive fractional differential equations with generalizedperiodic boundary value conditions

, 2014
By constructing Green’s function, we give the natural formulae of solutions forthe following nonlinear impulsive fractional differential equation with generalizedperiodic boundary value conditions: {Dtqcu(t)=f(t,u(t)),t∈J′=J∖{t1,…,tm},J ...
Kaihong Zhao, Ping Gong
semanticscholar   +1 more source

First order differential systems with a nonlinear boundary condition via the method of solution-regions. [PDF]

Bound Value Probl, 2021
Frigon M, Tella M, F Tojo FA.
europepmc   +1 more source