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.
Existence theory for nonlinear Volterra integral and differential equations.
Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions
We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration...
Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system
Existenz der Wellenoperatoren für eine allgemeine Klasse von Operatoren.
Expanding the applicability of two-point Newton-like methods under generalized conditions
We use a two-point Newton-like method to approximate a locally unique solution of a nonlinear equation containing a non-differentiable term in a Banach space setting. Using more precise majorizing sequences than in earlier studies, we present a tighter semi-local and local convergence analysis and weaker convergence criteria. This way we expand the applicability of these methods. Numerical examples are provided where the old convergence criteria do not hold but the new convergence criteria are satisfied....