Navier-Stokes equations with potentials.
Neumann boundary value problems across resonance
We obtain an existence-uniqueness result for a second order Neumann boundary value problem including cases where the nonlinearity possibly crosses several points of resonance. Optimal and Schauder fixed points methods are used to prove this kind of results.
Neumann boundary value problems for impulsive differential inclusions.
Neumann boundary-value problems for differential inclusions in Banach spaces.
New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations
This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is...
New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations
A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.
New result of existence of periodic solution for a Hopfield neural networks with neutral time-varying delays.
New results on periodic solutions for a kind of Rayleigh equation
The paper deals with the existence of periodic solutions for a kind of non-autonomous time-delay Rayleigh equation. With the continuation theorem of the coincidence degree and a priori estimates, some new results on the existence of periodic solutions for this kind of Rayleigh equation are established.
New results on the positive solutions of nonlinear second-order differential systems.
Nodal solutions for a second-order -point boundary value problem
We study the existence of nodal solutions of the -point boundary value problem where
Nonlinear boundary value problems for second order differential inclusions
In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form . In this problem the maximal monotone term is required to be defined everywhere in the state space . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form . In this case the maximal...
Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions
This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
Nonlinear periodic systems with the -Laplacian: existence and multiplicity results.
Nonlinear scalar two-point boundary-value problems on time scales.
Nonlinear systems of second-order ODEs.
Nonlinear systems with mean curvature-like operators
We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J. Mawhin, we use an approach based on the Leray-Schauder degree.
Nonlocal boundary value problem for impulsive differential equations of fractional order.
Nonlocal impulsive Cauchy problems for evolution equations.
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions
In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel...
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces.