[PDF] Top 20 Solvability of second order linear differential equations in the sequence space \(n(\phi)\)
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Solvability of second order linear differential equations in the sequence space \(n(\phi)\)
... A measure of noncompactness is a nonnegative real-valued map defined on a collection of bounded subsets of a normed (metric) space which maps the class of relatively compact sets (known as kernel) to zero, while ... See full document
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On nonautonomous second order differential equations on Banach space
... the second-order differential equation ...of linear operators with D(B(t)) ⊇ D such that B(t) ∈ L(D,E) and t B(t)x is continuously differentiable for each x ∈ ... See full document
10
A linearization method in oscillation theory of half linear second order differential equations
... has been found, see, for example, [1] and the references given therein. On the other hand, some natural differences were pointed out, mostly caused by the fact that the solution space of (1.1) has only one half of ... See full document
11
Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
... of linear operators on the space E × X generated by the operator A = A I defined on D(A) × ...bounded linear operator and that AS(t)x → (t → ) for each x ∈ ... See full document
19
Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order.
... to Differential Galois Theory and other algebraic results that will be needed for solving our problem, as well as known results for the case of equations of order less than ...The second part ... See full document
121
Some results of meromorphic solutions of second order linear differential equations
... the order of growth of a meromorphic function f (z), λ(f ) to denote the exponents of convergence of the zero- sequence of a meromorphic function f (z), λ(f ) to denote the exponents of convergence of the ... See full document
14
Hyers Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
... In 1940, Ulam 1 posed the following problem concerning the stability of functional equations: give conditions in order for a linear mapping near an approximately linear mapping to exist. The ... See full document
7
On decreasing solutions of second order nearly linear differential equations
... a linear equation. It is, however, clear that in contrast to linear equations, the solution space of () is generally neither additive nor ... See full document
13
On the Solvability of Second-Order Impulsive Differential Equations with Antiperiodic Boundary Value Conditions
... The article is organized as follows. In Section 2, we present the expression of Green’s functions of related linear operator in the space of piecewise continuous functions. Section 3 contains the main ... See full document
18
Hyers ulam stability of exact second order linear differential equations
... 1. Ulam, SM: In Problems in Modern Mathematics, vol. VI,Science Ed., Wiley, New York (1940) 2. Hyers, DH: On the stability of the linear functional equation. Proc Natl Acad Sci. 27, 222 – 224 (1941) 3. Rassias, ... See full document
7
On the Ulam stability of a class of Banach space valued linear differential equations of second order
... This work was supported by ‘Qing Lan’ Talent Engineering Funds by Tianshui Normal University. The second author acknowledges the support of the Humanity and Social Science Youth Foundation of Ministry of Education ... See full document
9
On the stability of linear differential equations of second order
... In 1941, Hyers [7] obtained the result for p = 0. And then, Aoki [3] and Th. M. Rassias [24] generalized the above result of Hyers to the case where 0 6 p < 1. Moreover, Th. M. Rassias noticed in [24] that the proof ... See full document
6
The distribution of nonprincipal eigenvalues of singular second order linear ordinary differential equations
... Similar to the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive the asymptotic behavior of the eigen[r] ... See full document
7
Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ... See full document
8
Oscillation of Second Order Nonlinear Neutral Delay Differential Equations
... We observe that there has been increasing interest among the researchers in studying the effect of delays or advances in the independent variable have on the nature of solutions of differential equations ... See full document
13
Approximately $n$-order linear differential equations
... of differential equation y 0 = y was first investigated by Alsina and Ger ...Banach space valued differential equation y 0 = ...of linear differential of first order, y 0 + ... See full document
5
4. Oscillation Criteria for a Class of Second Order Nonlinear Differential Equations with Damping
... We have two aims in this paper. The first aim is to remove the condition (1.5) in Theorem 1.1 and to demonstrate this with an example. The second goal is to extend the technique developed by Rogovchenko and Tuncay ... See full document
11
Solution for order mixed Fredholm-Volterraintegro-differential equations using Haar wavelets
... n order linear mixed Fredholm-Volterraintegro-differential equations. The solution process is illustrated by designing general form of matrices to make calculations in easy way. ... See full document
11
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... this equations, on the other hand, when n>2 there is no solution for this ...equation. n can be considered as order of differential equations, and the orders of ... See full document
6
On a periodic boundary value problem for second-order linear functional differential equations
... It is known from the general theory of boundary value problems for functional di ff eren- tial equations that if is a monotone operator, then problem (1.1), (1.2) has the Fredholm property (see [3, Theorem 1.1, ... See full document
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