Precise asymptotic behavior of solutions of the sublinear Emden-Fowler differential equation

The aim of this paper is to show that if the sublinear Emden-Fowler differential equation

(A)     

Asymptotic behaviour of the Kazdan-Warner solution in the annulus

In this paper, we study the asymptotic behaviour as p→∞ of the radial solution of the problem

     

Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms

In this paper we consider the existence of a local solution in time to a weakly damped wave equation of Kirchhoff type with the damping term and the source term:

     

On a class of nonlinear elliptic equations with fast increasing weight and critical growth

We are concerned with the existence of rapidly decaying solutions for the equation

     

A remark on an integral equation via the method of moving spheres

In this paper, we study the following integral equation:

     

On the oscillations of the solution curve for a class of semilinear equations

We consider positive solutions of the Dirichlet problem

     

BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with σ-finite Borel measure and nonlinear source

The aim of this paper is to discuss the Cauchy problem of the quasilinear hyperbolic equation of the form

ut+x(um)=up     

Existence and stability of bounded solutions for a system of parabolic equations

In this paper we study the existence and the stability of bounded solutions of the following non-linear system of parabolic equations with homogeneous Dirichlet boundary conditions:

     

Boundedness of solutions for reversible system via Moser's twist theorem

In this paper we consider the problem of the boundedness of all solutions for the reversible system

     

Boundedness of solutions for second order differential equations with asymmetric nonlinearity

In this paper we are concerned with the boundedness of all solutions of the second order differential equations

     

Bounded and almost periodic solutions of convex Lagrangian systems

We study some properties of bounded and almost periodic solutions of convex Lagrangian systems in the presence of almost periodic forcing

     

Existence of quasiperiodic solutions and Littlewood’s boundedness problem of super-linear impact oscillators

So far most application of Kolmogorov-Arnold-Moser (KAM) theory has been restricted to smooth dynamical systems. In this paper, it is shown by a series of transformations that how KAM theory can be used to analyze the dynamical behavior of Duffing-type equations with impact. The analysis is carried out for the example

(0.1)     

Three fixed-sign solutions of system model with Sturm-Liouville type conditions

We consider the following system of differential equations

     

On multiple fixed-sign solutions of a discrete system with Hermite boundary conditions

We consider the discrete system

     

Classical solutions of singular Monge-Ampère equations in a ball

Our concern is on existence, uniqueness and regularity of convex, negative, radially symmetric classical solutions to

     

Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities

Let us consider the problem

(0.1)     

Nodal solutions for an elliptic problem involving large nonlinearities

Let us consider the problem

(0.1)     

Global existence and blow-up problems for reaction diffusion model with multiple nonlinearities

In this paper, we study the following reaction diffusion model,

     

Multiple fixed-sign solutions for a system of generalized right focal problems with deviating arguments

We consider the following system of generalized right focal boundary value problems