Page 1 Next

Displaying 1 – 20 of 68

Showing per page

Neumann boundary value problems across resonance

Ginés López, Juan-Aurelio Montero-Sánchez (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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.

New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations

Yuji Liu (2011)

Applicationes Mathematicae

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 on the ultimate boundedness of solutions of certain third-order vector differential equations

Mathew Omonigho Omeike, A. U. Afuwape (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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

Marek Galewski (2003)

Annales Polonici Mathematici

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.

Noncompact perturbation of nonconvex noncompact sweeping process with delay

Mohammed S. Abdo, Ahmed G. Ibrahim, Satish K. Panchal (2020)

Commentationes Mathematicae Universitatis Carolinae

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.

Currently displaying 1 – 20 of 68

Page 1 Next