Second Order Periodic Boundary Value Problems Involving the Distributional Henstock-Kurzweil Integral
نویسندگان
چکیده
منابع مشابه
The distributional Henstock-Kurzweil integral and measure differential equations
In the present paper, measure differential equations involving the distributional Henstock-Kurzweil integral are investigated. Theorems on the existence and structure of the set of solutions are established by using Schauder$^prime s$ fixed point theorem and Vidossich theorem. Two examples of the main results paper are presented. The new results are generalizations of some previous results in t...
متن کاملHenstock-Kurzweil Integral Transforms
Copyright q 2012 Salvador Sánchez-Perales et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We show conditions for the existence, continuity, and differentiability of functions defined by ΓΓs ∞ −∞ ftgt, sdt, where f is a func...
متن کاملthe distributional henstock-kurzweil integral and measure differential equations
in the present paper, measure differential equations involving the distributional henstock-kurzweil integral are investigated. theorems on the existence and structure of the set of solutions are established by using schauder$^prime s$ fixed point theorem and vidossich theorem. two examples of the main results paper are presented. the new results are generalizations of some previous results in t...
متن کاملLaplace Transform Using the Henstock-kurzweil Integral
We consider the Laplace transform as a Henstock-Kurzweil integral. We give conditions for the existence, continuity and differentiability of the Laplace transform. A Riemann-Lebesgue Lemma is given, and it is proved that the Laplace transform of a convolution is the pointwise product of Laplace transforms.
متن کاملSolvability of Second-order Boundary-value Problems at Resonance Involving Integral Conditions
This article concerns the second-order differential equation with integral boundary conditions x′′(t) = f(t, x(t), x′(t)), t ∈ (0, 1), x(0) = Z 1 0 x(s)dα(s), x(1) = Z 1 0 x(s)dβ(s). Under the resonance conditions, we construct a projector and then applying coincidence degree theory to establish the existence of solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2012
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2012.25046