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.
Initial and boundary value problems for -th order difference equations
On Urabe's application of Newton's method to nonlinear boundary value 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.
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.
Initial-value methods for computing eigenvalues of two point boundary value problem
Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
Two-point boundary value problems for second order systems
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.
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 .
Singular positone and semipositone boundary value problems of second order delay differential equations
In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent variable.
On exponential stability of second order delay differential equations
We propose a new method for studying stability of second order delay differential equations. Results we obtained are of the form: the exponential stability of ordinary differential equation implies the exponential stability of the corresponding delay differential equation if the delays are small enough. We estimate this smallness through the coefficients of this delay equation. Examples demonstrate that our tests of the exponential stability are essentially better than the known ones. This method...
Convergence of ap-Henstock-Kurzweil integral on locally compact spaces
We introduce an ap-Henstock-Kurzweil type integral with a non-atomic Radon measure and prove the Saks-Henstock type lemma. The monotone convergence theorem, -Henstock-Kurzweil equi-integrability, and uniformly strong Lusin condition are discussed.
Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach
This paper studies the existence of solutions to the singular boundary value problem where and are continuous. So our nonlinearity may be singular at and and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions.
Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results are sharp....
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