-th order ordinary differential systems under Stieltjes boundary conditions
Necessary And Sufficient Conditions For Existence Of Solutions To Equations With Noninvertible Linear Part.
Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
Necessary and sufficient conditions for the existence of positive solution for singular boundary value problems on time scales.
Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative.
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 algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method.
New exact traveling wave solutions of the ()-dimensional Zakharov-Kuznetsov (ZK) equation.
New existence results for higher-order nonlinear fractional differential equation with integral boundary conditions.
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 existence theorems of positive solutions for singular boundary value problems.
New fixed point theorems of mixed monotone operators and applications to singular boundary value problems on time scales.
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 results on the positive solutions of nonlinear second-order differential systems.
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.
Newton interpolating series at distinct points with coefficients in a real Banach algebra.
Nichtäquidistante Diskretisierungen von Randwertaufgaben.