Results 11 to 20 of about 1,790,903 (284)
Lower and Upper Solutions for Even Order Boundary Value Problems [PDF]
Mathematics, 2019 In this paper, we prove the existence of solutions of nonlinear boundary value problems of arbitrary even order using the lower and upper solutions method.
Alberto Cabada, Lucía López-Somoza
doaj +3 more sources
Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems [PDF]
Abstract and Applied Analysis, 2013 We apply the lower and upper solutions method and fixed-point theorems to prove the existence of positive solution to fractional boundary value problem D0+αut+ft,ut=0 ...
R. Darzi +3 more
doaj +4 more sources
Positive Solutions of Sturm-Liouville Boundary Value Problems in Presence of Upper and Lower Solutions [PDF]
International Journal of Differential Equations, 2011 We consider a kind of Sturm-Liouville boundary value problems. Using variational techniques combined with the methods of upper-lower solutions, the existence of at least one positive solution is established.
Li Zhang, Xiankai Huang, Weigao Ge
doaj +3 more sources
Periodic solutions for SDEs through upper and lower solutions
Discrete & Continuous Dynamical Systems - B, 2020 We study a kind of better recurrence than Kolmogorov's one: periodicity recurrence,which corresponds periodic solutions in distribution for stochastic differential equations. On the basis of technique of upper and lower solutions and comparison principle, we obtain the existence of periodic solutions in distribution for stochastic differential ...
Ji, Chunyan, Xue, Yang, Li, Yong
openaire +3 more sources
Almost periodic upper and lower solutions
Journal of Differential Equations, 2003 Consider the second-order equation \((*) \;\ddot{u} = f(t,u,\dot{u}),\) where \(f\) is continuous and \(T\)-periodic in \(t\). If \(f\) satisfies a Nagumo condition, then the method of upper and lower solutions is a powerful tool to establish the existence of \(T\)-periodic solutions of \((*)\).
R. Ortega, M.E. Tarallo
openaire +3 more sources
Upper and Lower Solutions with “Jumps”
Journal of Mathematical Analysis and Applications, 1998 Consider the periodic boundary value problem \((*)\) \(dx/dt = f(t,x)\), \(x(0)=x(T)\) where \(f:[0,T] \times \mathbb{R} \rightarrow \mathbb{R}\) is a Carathéodory function. The authors introduce the concept of piecewise absolutely continuous lower and upper solutions to \((*)\) (which can have jumps) and prove that the existence of ordered piecewise ...
Liz, Eduardo, Pouso, Rodrigo L
openaire +1 more source
Singular Problems: An Upper and Lower Solution Approach
Journal of Mathematical Analysis and Applications, 2000 Consider the problem \[ (py')'+p(t)q(t)f(t,y)=0, \quad \lim_{t\to 0+}p(t)y'(t)=0,\;y(1)=0, \tag{1} \] where \(p\) can be zero at both end points \(0\) and \(1\), \(q\) can be singular at these points and \(f\in{\mathcal C}([0,1]\times (0,\infty))\) can have a singularity at \(y=0\). The authors assume the existence of a sequence of constants \(\rho_n\)
O'Regan, D., Agarwal, R.P.
openaire +2 more sources
Takens-Bogdanov bifurcation of travelling wave solutions in pipe flow [PDF]
, 2010 The appearance of travelling-wave-type solutions in pipe Poiseuille flow that are disconnected from the basic parabolic profile is numerically studied in detail.
B. ECKHARDT +6 more
core +5 more sources
A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]
, 2006 The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Halidias, Nikolaos, Kloeden, Peter E.
core +3 more sources
Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries [PDF]
, 2018 In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the ...
Arrieta, José M. +2 more
core +3 more sources