Results 11 to 20 of about 58 (50)

On singular nonlinear distributional and impulsive initial and boundary value problems [PDF]

Boundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj   +2 more sources

Two large subsets of a functional space

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 189-191, 1985., 1985
Let P1 denote the Banach space composed of all bounded derivatives f of everywhere differentiable functions on [0, 1] such that the set of points where f vanishes is dense in [0, 1]. Let D0 consist of those functions in P that are unsigned on every interval, and let D1 consist of those functions in P1 that vanish on dense subsets of measure zero.
F. S. Cater
wiley   +1 more source

Generalized classes of starlike and convex functions of order α

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 455-467, 1985., 1985
We have introduced, in this paper, the generalized classes of starlike and convex functions of order α by using the fractional calculus. We then proved some subordination theorems, argument theorems, and various results of modified Hadamard product for functions belonging to these classes.
Shigeyoshi Owa, C. Y. Shen
wiley   +1 more source

Charakterisierungen unbestimmter Integrale

, 2005
Bekanntermaßen ist eine banachraumwertige Abbildung auf einem kompakten Intervall genau dann unbestimmtes Integral, wenn sie lambda-fast überall differenzierbar mit Lebesgue-integrierbarer Abteilung ist.
Rosenberger, B. (Burkard)
core   +2 more sources

Theory and applications of first-order systems of Stieltjes differential equations

Advances in Nonlinear Analysis, 2017
We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
doaj   +1 more source

A Generalization of the Real Mean Value Inequality

, 2005
In dieser Arbeit wird eine Mittelwertungleichung für banachraumwertige Funktionen auf einem kompakten Intervall vorgestellt. Im Spezialfall reellwertiger Funktionen wurde diese Mittelwertungleichung bereits von Dale E.
Rosenberger, B. (Burkard)
core   +2 more sources

Some Mean-Value Theorems of the Cauchy Type [PDF]

, 2006
2000 Mathematics Subject Classification: Primary 26A24, 26D15; Secondary 41A05Some mean-value theorems of the Cauchy type, which are connected with Jensen’s inequality, are given in [2] in discrete form and in [5] in integral form.
Pecaric, Josip, Srivastava, H. M., Rodic Lipanovic, Mirna   +2 more
core  

On second-order linear Stieltjes differential equations with non-constant coefficients

Open Mathematics
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J., Albés Ignacio Marquéz, Tojo Fernández   +2 more
doaj   +1 more source

On the quantum differentiation of smooth real-valued functions

, 2018
Calculating the value of $C^{k\in\{1,\infty\}}$ class of smoothness real-valued function's derivative in point of $\mathbb{R}^+$ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and $q ...
Petro Kolosov
core   +1 more source

Existence and stability of solutions for linear and nonlinear Stieltjes differential equations

, 2021
This paper deals with Cauchy problems and nonlocal problems for non-linear Stieltjes differential equations corresponding to a certain function g. We establish existence and uniqueness results for nonlinear equations with initial value or nonlocal ...
Wang, JinRong, O'Regan, D., Chen, Yu
core