Existence of Extremal Solutions of Second Order Initial Value Problems

Abstract

In this paper existence of extremal solutions of second order initial value problems with discontinuous right hand side is obtained under certain monotonicity conditions and without assuming the existence of upper and lower solutions. Two basic differential inequalities corresponding to these initial value problems are obtained in the form of extremal solutions. And also we prove uniqueness of solutions of given initial value problems under certain conditions. A. Sreenivas "Existence of Extremal Solutions of Second Order Initial Value Problems" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-4 , June 2019, URL: https://www.ijtsrd.com/papers/ijtsrd25192.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/25192/existence-of-extremal-solutions-of-second-order-initial-value-problems/a-sreenivas

Authors and Affiliations

Keywords

Related Articles

A Study on Investment Decisions of Different Projects at Chakravuyha Software Technologies Pvt Ltd

Investment Decisions as a technique of capital budgeting to make decision whether and how to invest available funds in long term or short term while anticipating high returns. The study aim was to about choosing the prof...

A Study on Legal Writing and Drafting

Legal writing is a form of technical writing generally used by professionals in the field of law. They are generally composed of complex , sequenced and interrelating sentences. Any legal writing must be formal , precise...

An Anatomical Exploration of "Dhanurasana"

The term Yoga is derived from the Sanskrit root yuj meaning to bind, join, attach and yoke, to direct and concentrate ones attention on, to use and apply. It also means union or communion. It is the true union of our wil...

Comparison of Two Compensation Control Strategies for Shunt Active Power Filter in three Systems

Use of nonlinear loads has been increased in large extent in industries now-a-days which injects harmonic currents in supply system. These harmonics creates power quality issue. Shunt Active Power Filter (SAPF) is the po...

A Comparative Study of South Gujarat Urban and Rural Secondary Schools Students' Mental Health

Mental health of the learner is very important for efficient learning and proper development of personality. For adolescents, school is the most important setting outside the family. Students perceptions of the school en...

Download PDF file
  • EP ID EP595869
  • DOI 10.31142/ijtsrd25192
  • Views 109
  • Downloads 0

How To Cite

(2019). Existence of Extremal Solutions of Second Order Initial Value Problems. International Journal of Trend in Scientific Research and Development, 3(4), 1657-1659. https://europub.co.uk/articles/-A-595869