Results 51 to 60 of about 1,720,412 (231)

Ground state solution of a nonlocal boundary-value problem

, 2013
In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \end{equation*} submitted to Dirichlet boundary conditions.
Batkam, Cyril Joel
core   +1 more source

A selfadjoint hyperbolic boundary-value problem

Electronic Journal of Differential Equations, 2003
We consider the eigenvalue wave equation $$u_{tt} - u_{ss} = lambda pu,$$ subject to $ u(s,0) = 0$, where $uinmathbb{R}$, is a function of $(s, t) in mathbb{R}^2$, with $tge 0$.
Nezam Iraniparast
doaj  

Response of Non-Linear Shock Absorbers-Boundary Value Problem Analysis

International Journal of Applied Mechanics and Engineering, 2013
A nonlinear boundary value problem of two degrees-of-freedom (DOF) untuned vibration damper systems using nonlinear springs and dampers has been numerically studied.
M.A. Rahman, U. Ahmed, M.S. Uddin
doaj   +1 more source

A singular nonlinear boundary-value problem

Electronic Journal of Differential Equations, 2000
In this paper we prove an existence and uniqueness theorem for the singular nonlinear boundary-value problem $$displaylines{ (|y'(t)|^py'(t))'+frac{phi}{y^{lambda}(t)}=0 hbox{ in } (0,1),cr y(0)=0=y(1), }$$ where $pgeq 0$, $lambda$ is a positive constant,
Robert M. Houck, Stephen B. Robinson
doaj  

Smoothness of solutions of conjugate boundary-value problems on a measure chain

Electronic Journal of Differential Equations, 2000
In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
doaj  

Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions

Journal of Applied Mathematics, 2013
We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x ...
Hui Li, Libo Wang, Minghe Pei
doaj   +1 more source

Existence results for a mixed boundary value problem

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In the present paper, we obtain an existence result for a class of mixed boundary value problems for second-order differential equations. A critical point theorem is used, in order to prove the existence of a precise open interval of positive eigenvalues
Armin Hadjian, Stepan Tersian
doaj   +1 more source

First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales

Discrete Dynamics in Nature and Society, 2011
This work is concerned with the following first-order dynamic equation on time scale ,  xΔ(t)+p(t)x(σ(t))=f(t,x(t)),  t∈[0,T]𝕋 with the nonlinear boundary condition x(0)=g(x(σ(T))).
Ya-Hong Zhao
doaj   +1 more source

Existence and non-uniqueness of similarity solutions of a boundary layer problem [PDF]

A Blasius boundary value problem with inhomogeneous lower boundary conditions f(0) = 0 and f'(0) = - lambda with lambda strictly positive was considered. The Crocco variable formulation of this problem has a key term which changes sign in the interval of
Hussaini, M. Y., Lakin, W. D.
core   +1 more source

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +1 more source