Existence results for second-order impulsive neutral functional differential equations with nonlocal conditions.
Existence results for semilinear perturbed functional differential equations with nondensely defined operators.
Existence results for singular boundary value problem of nonlinear fractional differential equation.
Existence results for system of variational inequality problems with semimonotone operators.
Existence results for systems with nonlinear coupled nonlocal initial conditions
The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples are...
Existence results for the equation in .
Existence results for ϕ-Laplacian Dirichlet BVP of differential inclusions with application to control theory
In this paper, we study ϕ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multi-valued right-hand side. The nonlinearity satisfies either a Nagumo-type growth condition or an integrably boundedness one. The proofs rely on the Bonhnenblust-Karlin fixed point theorem and the Bressan-Colombo selection theorem respectively. Two applications to a problem from control theory are...
Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions
Existence theorem for a generalized Hammerstein type equation
Existence theorem for the Hammerstein integral equation
In this paper we prove an existence theorem for the Hammerstein integral equation , where the integral is taken in the sense of Pettis. In this theorem continuity assumptions for f are replaced by weak sequential continuity and the compactness condition is expressed in terms of the measures of weak noncompactness. Our equation is considered in general Banach spaces.
Existence Theorems for a Class of Non-linear Integral Equations.
Existence theorems for a variant of Hammerstein's integral equation
Existence theorems for boundary value problems for strongly nonlinear elliptic systems.
Existence theorems for nonlinear operator equation and some properties of the set of its solutions
Existence theorems for operator equations and nonlinear elliptic boundary-value problems
Existence Theorems for the Dirichlet Elliptic Inclusion Involving Exponential-Growth-Type Multivalued Right-Hand Side
We present two existence results for the Dirichlet elliptic inclusion with an upper semicontinuous multivalued right-hand side in exponential-type Orlicz spaces involving a vector Laplacian, subject to Dirichlet boundary conditions on a domain Ω⊂ ℝ². The first result is obtained via the multivalued version of the Leray-Schauder principle together with the Nakano-Dieudonné sequential weak compactness criterion. The second result is obtained by using the nonsmooth variational technique together with...
Existence theorems for the system ... in locally convex spaces.
Existence Theorems For The System {x=H(x, y) y=K(x, y)} In Locally Convex Spaces
Existence theorems of solutions for a system of nonlinear inclusions with an application.
Existence theory for nonlinear functional boundary value problems.