Neumann boundary-value problems for differential inclusions in Banach spaces.
New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method.
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 existence theorems of positive solutions for singular boundary value problems.
New result on the ultimate boundedness of solutions of certain third-order vector differential equations
Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order].
New variational principle and duality for an abstract semilinear Dirichlet problem
A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.
Nichtlineares Randwertproblem 4. Ordnung
Nielsen number and differential equations.
Nodal solutions for a class of fourth-order two-point boundary value problems.
Noncompact perturbation of nonconvex noncompact sweeping process with delay
We prove an existence theorem of solutions for a nonconvex sweeping process with nonconvex noncompact perturbation in Hilbert space. We do not assume that the values of the orient field are compact.
Nonconvex differential inclusions with nonlinear monotone boundary conditions.
Non-homogeneous boundary-value problems of higher order differential equations with -Laplacian.
Nonlinear boundary value problem for a system of nonlinear ordinary differential equations
Nonlinear boundary value problem for concave capillary surfaces occurring in single crystal rod growth from the melt.
Nonlinear boundary value problem for nonlinear second order differential equations with impulses.
Nonlinear boundary value problem for second-order differential equations depending on a parameter
Nonlinear boundary value problems at resonance for differential equations in Banach spaces
Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Nonlinear boundary value problems for ordinary differential equations [Book]
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...