Search results

Items from 1 to 4 out of 4 results

article

Existence of solutions of the dynamic Cauchy problem in Banach spaces

M. Cichoń, I. Kubiaczyk, A. Sikorska-Nowak, A. Yantir

Demonstratio Mathematica > 2012 > Vol. 45, nr 3 > 561-573

In this paper we obtain the existence of solutions and Carathéodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales (…), where f is continuous or f satisfies Carathéodory conditions and some conditions expressed in terms of measures of noncompactness. The Mönch fixed point theorem is used to prove the main result, which extends these obtained for...

article

Dynamic equations (…) on time scales

A. Sikorska-Nowak

Demonstratio Mathematica > 2011 > Vol. 44, nr 2 > 317-333

In this paper we prove the existence of solutions and Carathéodory's type solutions of the dynamic Cauchy problem (…), where (…) denotes a mth order (…) - derivative,T denotes an unbounded time scale (nonempty closed subset of R such that there exists a sequence (…) E -a Banach space and f is a continuous function or satis .es Carathéodory's conditions and some conditions expressed in terms of measures...

article

Weak solutions for the dynamic Cauchy problem in Banach spaces

Mieczysław Cichoń, Ireneusz Kubiaczyk, Aneta Sikorska-Nowak, Ahmet Yantir

Nonlinear Analysis > 2009 > 71 > 7-8 > 2936-2943

This paper is devoted to unify and extend the results of the existence of the weak solutions of continuous and discrete Cauchy problem in Banach spaces. We offer the existence of the weak solution of dynamic Cauchy problem on an infinite time scale. The measure of weak noncompactness and the fixed point theorem of Kubiaczyk are used to prove the main result.

article

Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals

Ireneusz Kubiaczyk, Aneta Sikorska-Nowak

Discussiones Mathematicae, Differential Inclusions, Control and Optimization > 2009 > 29 > 1 > 113-126

In the paper, we prove the existence of solutions and Carathéodory's type solutions of the dynamic Cauchy problem$x^Δ(t) = f(t,x(t))$, t ∈ T,x(0) = x₀,where T denotes an unbounded time scale (a nonempty closed subset of R and such that there exists a sequence (xₙ) in T and xₙ → ∞) and f is continuous or satisfies Carathéodory's conditions and some conditions expressed in terms of measures of noncompactness...

INFONA - science communication portal

Search results

Existence of solutions of the dynamic Cauchy problem in Banach spaces

Dynamic equations (…) on time scales

Weak solutions for the dynamic Cauchy problem in Banach spaces

Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals

Filter options

Publication date

Content availability

Keywords

Data set

INFONA - science communication portal

Search results

Existence of solutions of the dynamic Cauchy problem in Banach spaces

Dynamic equations (…) on time scales

Weak solutions for the dynamic Cauchy problem in Banach spaces

Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Content availability

Keywords

Data set

Reporting an error / abuse

Sending the report failed

Accessibility options