Results 81 to 90 of about 727 (127)

Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations

open access: yes, 2014
In this paper, we introduce a new class of boundary value problems consisting of a fractional differential equation of Riemann-Liouville type, DqRLx(t)=f(t,x(t)), t∈[0,T], subject to the Hadamard fractional integral conditions x(0)=0, x(T)=∑i=1nαiHIpix ...
J. Tariboon, S. Ntouyas, W. Sudsutad
semanticscholar   +1 more source

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

open access: yesAdvanced 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

Fractional integral problems for fractional differential equations via Caputo derivative

open access: yes, 2014
In this paper, we study the existence and uniqueness of solutions for fractional boundary value problems involving nonlocal fractional integral boundary conditions, by means of standard fixed point theorems.
J. Tariboon, S. Ntouyas, W. Sudsutad
semanticscholar   +1 more source

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

open access: yesAdvances 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

Multiple solutions for Dirichlet impulsive equations

open access: yesAdvances in Nonlinear Analysis, 2014
In this paper we are interested to ensure the existence of multiple nontrivial solutions for some classes of problems under Dirichlet boundary conditions with impulsive effects.
Ferrara Massimiliano   +2 more
doaj   +1 more source

Monotone iterative method for differential systems with coupled integral boundary value problems

open access: yes, 2013
By establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique, we investigate the differential systems with coupled integral boundary value problems.
Yujun Cui, Y. Zou
semanticscholar   +1 more source

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

open access: yesOpen Mathematics, 2017
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen   +1 more
doaj   +1 more source

Non-homogeneous BVPs for second-order symmetric Hamiltonian systems

open access: yesOpen 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

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