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Authors:Bhanu Gupta, Amit Sharma, Sanjay K. Srivastava Pages: 265 - 290 Abstract: It is a need of time to use hybrid approach (biological and chemical) to control agriculture pests effectively, economically and safely. Most of the pests and natural enemies in their life history goes through two stages namely immature larva and mature adult. From this biological point of view, we purpose a pest control model with stage structuring in pests and natural enemies in the presence of impulsively released natural enemy and chemical pesticides. Using Floquet theory and small ampli- tude perturbation technique, the local stability of periodic solutions are discussed. The suffcient conditions for the global attractively of pest- extinction periodic solution and permanence of the system are obtained by using comparison technique of differential equations with impulsive effect. At last an extensive simulation is done to verify the theoretical ndings and to see the rich dynamical behavior of the system. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20970 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Prasenjit Bal, Subrata Bhowmik, David Gauld Pages: 291 - 304 Abstract: In this paper a new covering notion, called M-star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*D,fin(D, D). The stronger form SS*D,1(D, D) of the selection hypothesis SS*D,fin(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20145 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Aparna Chaturvedi, Prakriti Rai Pages: 305 - 312 Abstract: There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20979 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Ranjit R. Dhunde, G. L. Waghmare Pages: 313 - 327 Abstract: In this article, we use double Laplace transform method to find solution of general linear fractional partial differential equation in terms of Mittag-Leffler function subject to the initial and boundary conditions. The efficiency of the method is illustrated by considering fractional wave and diffusion equations, Klein-Gordon equation, Burger’s equation, Fokker-Planck equation, KdV equation, and KdV-Burger’s equation of mathematical physics. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20144 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Abdul Hassen, Christopher R. Ernst Pages: 328 - 341 Abstract: In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20981 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Leetika Kathuria, Madhu Raka Pages: 342 - 355 Abstract: In this paper, we give a proof of the generalization of a result of Birch and Swinnerton-Dyer [1956], which has been used by Hans-Gill, Sehmi and authors while obtaining estimates on the classical conjecture of Minkowski on the product of n non-homogeneous linear forms. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20142 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Paula Kemp, Louis J. Ratliff; Jr., Kishor Shah Pages: 356 - 376 Abstract: It is shown that, for all local rings (R,M), there is a canonical bijection between the set DO(R) of depth one minimal prime ideals ω in the completion ^R of R and the set HO(R/Z) of height one maximal ideals ̅M' in the integral closure (R/Z)' of R/Z, where Z := Rad(R). Moreover, for the finite sets D := {V*/V* := (^R/ω)', ω ∈ DO(R)} and H := {V/V := (R/Z)'̅M', ̅M' ∈ HO(R/Z)}:(a) The elements in D and H are discrete Noetherian valuation rings.(b) D = {^V ∈ H}. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20123 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Anuj Kumar, S. K. Upadhyay Pages: 377 - 395 Abstract: An n-dimensional continuous fractional wavelet transform involving n-dimensional fractional Fourier transform is studied and its properties are obtained on Gel'fand and Shilov spaces of type WM(Rn), WΩ (Cn) and WΩM (Cn). It is shown that continuous fractional wavelet transform, WαψΦ : WM(Rn) → WM(Rn × R+), WαψΦ : WΩ (Cn) → WΩ (Cn × R+) and WαψΦ : WΩM (Cn) → WΩM (Cn × R+) are linear and continuous maps, where Rn and Cn are the usual Euclidean spaces. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20984 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Gopi Prasad, Ramesh Chandra Dimri Pages: 396 - 410 Abstract: In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press]. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/16383 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Sangita Saha, Santanu Roy Pages: 411 - 421 Abstract: In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/21408 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:Meena Sahai, R. K. Sharma, Parvesh Kumari Pages: 422 - 433 Abstract: In this article Jordan regular units have been introduced. In particular, it is proved that for n ≥ 2, the general linear group GL(2; F2n) can be generated by Jordan regular units. Further, presentations of GL(2, F4); GL(2, F8); GL(2, F16) and GL(2, F32) have been obtained having Jordan regular units as generators. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20971 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:R. K. Sharma, Amit B. Singh Pages: 434 - 448 Abstract: Let R be a ring, (M, ≤) a strictly ordered monoid and ω : M → End(R) a monoid homomorphism. The skew generalized power series ring R[[M; ω]] is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series rings, (skew) group rings, (skew) monoid rings, Mal'cev Neumann rings and generalized power series rings. In this paper, we introduce concept of strongly (M, ω)-reversible ring (strongly reversible ring related to skew generalized power series ring R[[M, ω]]) which is a uni ed generalization of strongly reversible ring and study basic properties of strongly (M; ω)-reversible. The Nagata extension of strongly reversible is proved to be strongly reversible if R is Armendariz. Finally, it is proved that strongly reversible ring strictly lies between reduced and reversible ring in the expanded diagram given by Diesl et. al. [7]. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20986 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:J. P. Singh, C. Lalmalsawma Pages: 449 - 469 Abstract: The object of the present paper is to study generalized pseudo-projectively recurrent manifolds. Some geometric properties of generalized pseudo-projectively recurrent manifolds have been studied under certain curvature conditions. Finally the existence of generalized pseudo-projectively recurrent manifold is shown by examples. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/20039 Issue No:Vol. 85, No. 3-4 (2018)

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Authors:S. K. Upadhyay, Manmohan Singh Chauhan Pages: 470 - 493 Abstract: The characterizations of pseudo-differential operators L(x,D) and H(x,D) associated with the homogeneous symbol l(x; ξ), involving Hankel transformation are investigated by using the theory of n-dimensional Hankel transform. PubDate: 2018-06-01 DOI: 10.18311/jims/2018/21407 Issue No:Vol. 85, No. 3-4 (2018)