Nonlinear Schrödinger equation on real hyperbolic spaces
Nonlinear separable equations in linear spaces and commutative Leibniz algebras
We consider nonlinear equations in linear spaces and algebras which can be solved by a "separation of variables" obtained due to Algebraic Analysis. It is shown that the structures of linear spaces and commutative algebras (even if they are Leibniz algebras) are not rich enough for our purposes. Therefore, in order to generalize the method used for separable ordinary differential equations, we have to assume that in algebras under consideration there exist logarithmic mappings. Section 1 contains...
Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis.
Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations
AMS Subj. Classification: 47J10, 47H30, 47H10We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for Hammerstein operator KF.
Nonlinear stability of a quadratic functional equation with complex involution
Let be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping satisfies for all , , then the mapping satisfies for all , . Furthermore, they proved the generalized Hyers-Ulam stability of the functional equation () in complex Banach spaces. In this paper, we will adopt the idea of Park and Th. M. Rassias to prove the stability of a quadratic functional equation with complex involution via fixed point method.
Nonlinear symmetric positive systems
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.
Nonlinear transformations on spaces of continuous functions
Nonlinear Variational Inequalities and Maximal Monotone Mappings in Banach Spaces.
Nonlinear Variational Inequalities Depending on a Parameter
This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions.
Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces.
Nonlinear Volterra integral equations in Henstock integrability setting.
Nonlocal boundary value problem for impulsive differential equations of fractional order.
Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces.
Nonlocal conditions for lower semicontinuous parabolic inclusions.
Nonlocal elliptic problems
Some conditions for the existence and uniqueness of solutions of the nonlocal elliptic problem , are given.
Nonlocal impulsive Cauchy problems for evolution equations.
Nonlocal quasilinear damped differential inclusions.
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...