An inequality which arises in the absence of the mountain pass geometry.
Existence criteria for integral equations in Banach spaces.
Existence of solutions for second-order differential equations and systems on infinite intervals.
A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis.
Continuation theory for general contractions in gauge spaces.
Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps.
Anti-periodic solutions for second order differential inclusions.
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...
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