期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
In this paper, we consider the generalized Motzkin paths whose step set consists of E = (1, 0), N = (0, 1), U = (1, 1) and D = (1, -1). In the general......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
Let q be a multiplicative arithmetic function defined by rho(p(alpha)) = p(alpha) - p(alpha-1) + p(alpha-2) - . . .+ (-1)(alpha) for a prime power p(a......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
In this paper, we are interested in the existence and multiplicity of positive solutions for the following Kirchhoff-Schrodinger-Newton system {-(1 + ......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (1)
In this paper, we obtain the existence of at least two nontrivial solutions for a class of p(x)-curl systems arising in electromagnetism. Some new cri......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
Let R-1 (n), R-2 (n) denote the numbers of representations of a positive integer n by the quaternary quadratic forms g(1)(x(1), x(2), x(3), x(4)) = 2(......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
We consider the problem of interior scattering from a point source for a bounded domain D containing two penetrable scatterers Omega(1) and Omega(2) i......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (1)
Let p(omega)(n) be the number of partitions of n in which each odd part is less than twice the smallest part, and assume that p(omega)(0) = 0. Andrews......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
Let a and b be two positive integers with with 1 <= a <= b and b >= 2, and let G be a graph of order n >= (a+b-3)(2a+b-1)-a+1/a. We say th......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
We consider the Schrodinger operator L = -Delta thorn V on R-n, where n >= 3 and the nonnegative potential V belongs to reverse Holder class RHs fo......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
The locally k-uniformly extremely convex Banach spaces are introduced. It is shown here that every locally k-uniformly extremely convex space is local......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (1)
Let K be a compact Hausdorff space, Y be a Banach space, C(K) be the real Banach spaces of all continuous functions on K endowed with the supremum nor......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (1)
In this paper, we give sufficient conditions for the globally exponential stability of p-mean piecewise pseudo almost periodic mild solutions of a cla......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (1)
In this paper, we study the following planar Schrodinger-Newton system with a Coulomb potential {-Delta u + W(x)u + 2 pi phi u + integral(2)(R) [u(y)]......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (2)
Suppose that the vertex set of a connected graph G is V(G) = {v(1), ..., v(n)}. Then we denote by Tr-G(v(i)) the sum of distances between v(i) and all......
期刊： INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021; 52 (1)
Let X, Y be Banach spaces, W be a closed wedge of X, and f : W boolean OR -W -> Y be a symmetric epsilon-isometry. We firstly establish a weak stab......
