Articles

The existence of affine-periodic solutions for nonlinear impulsive differential equations

In this paper, we study the existence of affine-periodic solutions of nonlinear impulsive differential equations. The affine-periodic solutions have the form ...

Authors: Shuai Wang

On a generalized relaxed Saint–Venant principle

The goal of this paper is to obtain an extension of the relaxed Saint–Venant principle in order to cover the thermoelasticity of dipolar porous bodies.

Authors: Marin Marin, Ravi P. Agarwal and Dumitru Baleanu

Dynamical analysis of a competition and cooperation system with multiple delays

This paper is concerned with a competition and cooperation system with multiple constant delays relating to economic enterprise. The stability of the unique positive equilibrium is investigated and the existen...

Authors: Xin Zhang, Zizhen Zhang and Matthew J. Wade

Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative

In this paper, we are concerned with the fractional Schrödinger equation with time fraction order, fractional Laplacian, and derivative terms. The existence of weak solution is established, as well as the exis...

Authors: Wenjing Song and Ganshan Yang

Ground state solutions for asymptotically periodic Schrödinger–Poisson systems involving Hartree-type nonlinearities

Authors: Lixi Wen and Sitong Chen

The quasi-boundary value regularization method for identifying the initial value with discrete random noise

In this paper, we study an inverse initial value problem for the fractional diffusion equation with discrete noise. This problem is ill-posed in the sense of Hadamard. We apply the trigonometric method in a no...

Authors: Fan Yang, Yan Zhang, Xiao-Xiao Li and Can-Yun Huang

Vanishing viscosity limit for Riemann solutions to zero-pressure gas dynamics with flux perturbation

In this paper, by the viscosity vanishing approach, we consider the Riemann problem for zero-pressure gas dynamics with flux perturbation. The Riemann solutions involve parameterized delta shock wave and const...

Authors: Yanyan Zhang and Jingen Yang

The stability analysis of a system with two delays

This paper presents new results of stability analysis for a linear system with two delays. We attempt to determine the asymptotic stability regions of the system in a parameter space by using D-partition metho...

Authors: Sertaç Erman, Hulya Kodal Sevindir and Ali Demir

On the well-posedness problem of the electrorheological fluid equations

Authors: Huashui Zhan

Existence and stability of periodic solutions for a forced pendulum with time-dependent damping

In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based on the third order approximation method and a suita...

Authors: Fang-Fang Liao and Zaitao Liang

A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter

The present paper deals with a class of discontinuous Sturm–Liouville problems with boundary conditions rationally dependent on the eigenparameter. Operator formulation is built and asymptotic formulas for eig...

Authors: Zhaowen Zheng, Jinming Cai, Kun Li and Maozhu Zhang

Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré–Birkhoff theorem

In this paper, we study the multiplicity of periodic solutions of one kind of planar Hamiltonian systems with a nonlinear term satisfying semilinear conditions. Using a generalized Poincaré–Birkhoff fixed poin...

Authors: Zaihong Wang and Tiantian Ma

Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type

Authors: Shiping Lu and Xingchen Yu

Positive solutions for integral boundary value problem of two-term fractional differential equations

Authors: Mengrui Xu and Zhenlai Han

Pullback attractors for non-autonomous reaction–diffusion equation with infinite delays in \(C_{\gamma,L^{r}(\Omega)}\) or \(C_{\gamma,W^{1,r}(\Omega)}\)

In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in

Authors: Yanping Ran and Jing Li

Qualitative analysis of a strongly coupled predator–prey system with modified Holling–Tanner functional response

In this paper, we deal with a strong coupled predator–prey model with modified Holling–Tanner functional response under homogeneous Neumann boundary conditions. We mainly discuss the following two problems: (1...

Authors: Rong Zeng

Two positive solutions for quasilinear elliptic equations with singularity and critical exponents

Authors: Yanbin Sang, Xiaorong Luo and Zongyuan Zhu

Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent

Authors: Maoding Zhen, Jinchun He, Haoyuan Xu and Meihua Yang

Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian

This paper deals with the existence of infinitely many solutions for a class of impulsive fractional boundary value problems with p-Laplacian. Based on a variant fountain theorem, the existence of infinitely many...

Authors: Yang Wang, Yansheng Liu and Yujun Cui

Blow-up and delay for a parabolic–elliptic Keller–Segel system with a source term

Authors: Yujuan Jiao and Wenjing Zeng

Three positive solutions for second-order periodic boundary value problems with sign-changing weight

Authors: Zhiqian He, Ruyun Ma and Man Xu

Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor

This paper is concerned with the bifurcation phenomenon of a free-boundary problem modeling the tumor growth under the action of angiogenesis and inhibitor. Taking the surface tension coefficient γ as a bifurcati...

Authors: Zejia Wang, Huijuan Song and Suzhen Xu

On the linear fuzzy model associated with Caputo–Fabrizio operator

In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the...

Authors: R. Abdollahi, A. Khastan, J. J. Nieto and R. Rodríguez-López

On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

By using the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integ...

Authors: Melike S. Aydogan, Dumitru Baleanu, Asef Mousalou and Shahram Rezapour

Riemann problem for a compressible perfect fluid with a constant external force for the Chaplygin gas

The Riemann problem for a compressible perfect fluid with a constant external force for the Chaplygin gas is considered. We obtain two kinds of exact solutions. The first one consists of contact discontinuitie...

Authors: Yicheng Pang, Min Hu and Jinhuan Wang