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Dalai, D. K.
- Invariant Monotonicity (Quasi & Pseudo) and Invexity
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Authors
Affiliations
1 Department of Mathematics, D. A. V. College Koraput-764001, Odisha., IN
2 S.B. Women's College, cuttack-753001, Odisha., IN
3 Ravenshaw University, cuttack-753001, Odisha., IN
1 Department of Mathematics, D. A. V. College Koraput-764001, Odisha., IN
2 S.B. Women's College, cuttack-753001, Odisha., IN
3 Ravenshaw University, cuttack-753001, Odisha., IN
Source
Global Journal of Mathematical Science:Theory and Practical, Vol 5, No 1 (2013), Pagination: 53-67Abstract
Several kinds of invariant quasi and pseudo monotone maps are introduced. Some examples are given which show that every quasi and pseudo monotone maps are invariant quasi and pseudo monotone maps. Relationships between generalized invariant quasi and pseudo monotonicity and generalized invexity are established.
Our results are generalizations of those presented by X.M. Yang, X.Q Yang and K.L.Teo.
References
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- X.M.Yang, X.Q.Yang and K.L.Teo, Generalized invexity and generalized invariant monotonicity, journal of optimization theory and application, Vol.177, No 3, Pp.607-625, 2003.
- Oscillatory and Non Oscillatory Behavior of the Equation Y''' + P0tβY' + q0tδY = 0 by Using Integral Conditions of Oscillation
Abstract Views :179 |
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Authors
Affiliations
1 Dept. of Mathematics, Synergy Institute of Engineering and Technology Dhenkanal, Odisha, IN
2 Dept of Mathematics, S. B. Women’s College, Cuttack, Odisha, IN
3 Dept of Mathematics, Ravenshaw University, Cuttack, Odisha, IN
1 Dept. of Mathematics, Synergy Institute of Engineering and Technology Dhenkanal, Odisha, IN
2 Dept of Mathematics, S. B. Women’s College, Cuttack, Odisha, IN
3 Dept of Mathematics, Ravenshaw University, Cuttack, Odisha, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 3-4 (2014), Pagination: 295-308Abstract
In this paper we derive different oscillation and non oscil- lation criteria for the equation y''' + p0tβy' + q0tδy = 0 using integral conditions of oscillation of third order linear differential equation.Keywords
Oscillation, Non Oscillation, Third Order Differential Equations, Integral Condition for Oscillation, Euler Cauchy Equation.References
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