2: The necessary condition for existence of the solution of the nonlinear equation x =g (x) in period [a, b] is (a) g (x) is a continuous function in [a, b]. (b) g (x) E [a, b] for all x e [a, b]. (c) lg (x)| < L « 1 for all x e [a,b].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

Answer the following

2: The necessary condition for existence of the solution of the nonlinear
equation x = g (x) in period [a, b] is
(a) g (x) is a continuous function in [a, b].
(b) g (x) € [a, b] for all x e [a, b].
(c) lg (x)| < L « 1 for all x e [a, b].
Transcribed Image Text:2: The necessary condition for existence of the solution of the nonlinear equation x = g (x) in period [a, b] is (a) g (x) is a continuous function in [a, b]. (b) g (x) € [a, b] for all x e [a, b]. (c) lg (x)| < L « 1 for all x e [a, b].
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,