Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments
On the Right Focal Point Boundary Value Problems for Linear Ordinary Differential Equations
Scopo della presente Nota è quello di fornire una maggiorazione della lunghezza dell'intervallo sul quale il problema (1) (2) (3) ammette soltanto la soluzione nulla.
On the Right Focal Point Boundary Value Problems for Linear Ordinary Differential Equations
Scopo della presente Nota è quello di fornire una maggiorazione della lunghezza dell'intervallo sul quale il problema (1) (2) (3) ammette soltanto la soluzione nulla.
On Urabe's application of Newton's method to nonlinear boundary value problems
Initial and boundary value problems for -th order difference equations
Weakly sequentially continuous maps and existence principles for elliptic equations
We present a Furi-Pera type theorem for weakly sequentially continuous maps. As an application we establish new existence principles for elliptic Dirichlet problems.
Fixed point theory for multimaps defined on closed subsets of Fréchet spaces: the projective limit approach
New fixed point results are presented for maps defined on closed subsets of a Fréchet space . The proof relies on fixed point results in Banach spaces and viewing as the projective limit of a sequence of Banach spaces.
Initial-value methods for computing eigenvalues of two point boundary value problem
Two-point boundary value problems for second order systems
Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
On solutions set of a multivalued stochastic differential equation
We analyse multivalued stochastic differential equations driven by semimartingales. Such equations are understood as the corresponding multivalued stochastic integral equations. Under suitable conditions, it is shown that the considered multivalued stochastic differential equation admits at least one solution. Then we prove that the set of all solutions is closed and bounded.
Compactness condition for boundary value problems
On Gel'fand's method of chasing for solving multipoint boundary value problems
Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions
We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.
Existence of positive solutions for a fourth-order differential system
This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type.
Extended Riemann-Liouville type fractional derivative operator with applications
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind. Some typical generating relations for these extended hypergeometric functions are obtained by defining the extension of the Riemann-Liouville fractional derivative operator. Their connections with elementary functions and Fox’s H-function are also presented.
Existence theory for single and multiple solutions to singular positone boundary value problems for the delay one-dimensional p-Laplacian
The existence of single and multiple nonnegative solutions for singular positone boundary value problems to the delay one-dimensional p-Laplacian is discussed. Throughout our nonlinearity f(·,y) may be singular at y = 0.
Periodicity, almost periodicity for time scales and related functions
In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.
Solution to Fredholm integral inclusions via ( F, δ b )-contractions
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
Approximate homomorphisms and derivation in multi-Banach algebras
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-Banach algebras and derivations on multi-Banach algebras for the additive functional equation for each with .
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