Results 51 to 60 of about 732 (114)

Solvability for a nonlinear three‐point boundary value problem with p‐Laplacian‐like operator at resonance

, 2001
Abstract and Applied Analysis, Volume 6, Issue 4, Page 191-213, 2001.
M. García-Huidobro, C. P. Gupta, R. Manásevich   +2 more
wiley   +1 more source

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions [PDF]

, 2019
In this paper we analyze the porous medium equation \begin{equation}\label{ProblemAbstract} \tag{$\Diamond$} %\begin{cases} u_t=\Delta u^m + a\io u^p-b u^q -c\lvert\nabla\sqrt{u}\rvert^2 \quad \textrm{in}\quad \Omega \times I,%\\ %u_\nu-g(u)=0 & \textrm ...
Marras, Monica, Pintus, Nicola, Viglialoro, Giuseppe   +2 more
core   +2 more sources

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

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

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

Solvability for a coupled system of fractional differential equations with impulses at resonance

, 2013
In this paper, some Banach spaces are introduced. Based on these spaces and the coincidence degree theory, a 2m-point boundary value problem for a coupled system of impulsive fractional differential equations at resonance is considered, and the new ...
Xiaozhi Zhang, Chuanxi Zhu, Zhaoqi Wu
semanticscholar   +1 more source

Infinite and finite dimensional Hilbert tensors

, 2014
For an $m$-order $n-$dimensional Hilbert tensor (hypermatrix) $\mathcal{H}_n=(\mathcal{H}_{i_1i_2\cdots i_m})$, $$\mathcal{H}_{i_1i_2\cdots i_m}=\frac1{i_1+i_2+\cdots+i_m-m+1},\ i_1,\cdots, i_m=1,2,\cdots,n$$ its spectral radius is not larger than $n^{m ...
Qi, Liqun, Song, Yisheng
core   +1 more source

Existence of Solutions for Fractional Differential Equations with Multi-point Boundary Conditions at Resonance on a Half-line

, 2011
In this paper, we investigate the existence of solutions for multi-point boundary value problems at resonance concerning fractional differential equation on a half-line. Our analysis relies on the coincidence degree of Mawhin.
Chunhai Kou, Feng Xie, Hua-Cheng Zhou
semanticscholar   +1 more source

Monotone and convex positive solutions for fourth-order multi-point boundary value problems

Boundary Value Problems, 2011
The existence results of multiple monotone and convex positive solutions for some fourth-order multi-point boundary value problems are established. The nonlinearities in the problems studied depend on all order derivatives. The analysis relies on a fixed
Chunfang Shen, Liu Yang, Weiguo Zhang
doaj