Results 81 to 90 of about 380 (109)

Some nonlinear second order equation modelling rocket motion [PDF]

arXiv, 2012
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force. The proofs of the main results are based on topological fixed point approach.
arxiv  

An inequality à la Szegő-Weinberger for the $p-$Laplacian on convex sets [PDF]

arXiv, 2014
In this paper we prove a sharp inequality of Szeg\H{o}-Weinberger type for the first nontrivial eigenvalue of the $p-$Laplacian with Neumann boundary conditions. This applies to convex sets with given diameter. Some variants, extensions and limit cases are investigated as well.
arxiv  

Periodic solutions for some phi-Laplacian and reflection equations [PDF]

arXiv, 2014
This work is devoted to the study of the existence and periodicity of solutions of initial differential problems, paying special attention to the explicit computation of the period. These problems are also connected with some particular initial and boundary value problems with reflection, which allows us to prove existence of solutions of the latter ...
arxiv  

k-convex solutions for multiparameter Dirichlet systems with k-Hessian operator and Lane-Emden type nonlinearities

Advances in Nonlinear Analysis
In this article, our main aim is to investigate the existence of radial kk-convex solutions for the following Dirichlet system with kk-Hessian operators: Sk(D2u)=λ1ν1(∣x∣)(−u)p1(−v)q1inℬ(R),Sk(D2v)=λ2ν2(∣x∣)(−u)p2(−v)q2inℬ(R),u=v=0on∂ℬ(R).\left\{\begin ...
He Xingyue, Gao Chenghua, Wang Jingjing
doaj   +1 more source

Infinite families of harmonic self-maps of spheres [PDF]

arXiv, 2015
For each of the spheres $\mathbb{S}^{n}$, $n\geq 5$, we construct a new infinite family of harmonic self-maps, and prove that their members have Brouwer degree $\pm1$ or $\pm3$. These self-maps are obtained by solving a singular boundary value problem.
arxiv  

Non-spurious solutions to discrete boundary value problems through variational methods [PDF]

arXiv, 2015
Using direct variational method we consider the existence of non-spurious solutions to the following Dirichlet problem $\ddot{x}\left( t\right) =f\left( t,x\left( t\right) \right) $, $x\left( 0\right) =x\left( 1\right) =0 $ where $f:\left[ 0,1\right] \times \mathbb{R} \rightarrow \mathbb{R}$ is a jointly continuous function convex in $x$ which does not
arxiv  

Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

Advanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
doaj   +1 more source

Boundary value problems for integro-differential and singular higher-order differential equations

Open Mathematics
We investigate third-order strongly nonlinear differential equations of the type (Φ(k(t)u″(t)))′=f(t,u(t),u′(t),u″(t)),a.e. on[0,T],\left(\Phi \left(k\left(t){u}^{^{\prime\prime} }\left(t)))^{\prime} =f\left(t,u\left(t),u^{\prime} \left(t),{u}^{^{\prime ...
Anceschi Francesca, Calamai Alessandro, Marcelli Cristina, Papalini Francesca   +3 more
doaj   +1 more source

Beyond just "flattening the curve": Optimal control of epidemics with purely non-pharmaceutical interventions. [PDF]

J Math Ind, 2020
Kantner M, Koprucki T.
europepmc   +1 more source

Non-homogeneous BVPs for second-order symmetric Hamiltonian systems

Open Mathematics
By making use of Bolle’s method, we show that the following problem has infinitely many solutions: x¨+V′(x)=0,x(0)cosα−x˙(0)sinα=x0,x(1)cosβ−x˙(1)sinβ=x1,\begin{array}{rcl}\ddot{x}+{V}^{^{\prime} }\left(x)& =& 0,\\ x\left(0)\cos \alpha -\dot{x}\left(0 ...
Chen Yingying, Dong Yujun, Wang Baiqian
doaj   +1 more source