[PDF] Top 20 First-Order Singular and Discontinuous Differential Equations
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First-Order Singular and Discontinuous Differential Equations
... 3 singular problems , which requires the addition of some assumptions over the lower and upper ...for singular quasimonotone systems in Section 6 and we give some examples in Section ... See full document
25
A family of singular ordinary differential equations of the third order with an integral boundary condition
... third order ordinary differential equations with singularly perturbed boundary value problems, which depend on a small positive parameter, see, for example [1–3], on third order ordinary differential ... See full document
11
Differential inequalities and comparison theorems for first order hybrid integro-differential equations
... integro-differential equations lies in the fact that they include several classes of differential and integral equations as special ...hybrid differential equations is implicit ... See full document
20
The nonlinear Kneser problem for singular in phase variables second-order differential equations
... In all the above-mentioned works, differential equations and systems, not having singu- larities in phase variables, are considered. The Kneser problem for the differential equa- tion with a singularity in one of ... See full document
17
Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales
... We are concerned with singular three-point boundary value problems for delay higher-order dynamic equations on time scales. Theorems on the existence of positive solutions are obtained by utilizing ... See full document
19
Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations
... _____________________________________________________________________________________________________ Abstract - This paper provides a method for solving systems of first order ordinary differential ... See full document
5
The distribution of nonprincipal eigenvalues of singular second order linear ordinary differential equations
... We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x + λq(t)x = 0 on an infinite interval [a, + ∞ ). Similar to the regular eigenvalue problem on compact ... See full document
7
A shooting method for singular nonlinear second order Volterra integro differential equations
... 6 1969, 365-374 [8] NA, T.Y., Computanonal Methods in Engineering Boundary Value Problems, Academic Press, New York 1979 [9] SHAW, R.E and GAREY, L.E., Monotonic approximations for nonli[r] ... See full document
10
Numerical Solution of Differential Equations
... what differential equations ...so-called first order equations, which only involve the unknown function and its first ...how first order equations can be ... See full document
11
Notes on the Solutions of the First Order Quasilinear Differential Equations
... third order differential equations systems by means of angle functions, In- vestigations of differential equations , MADI 1986, Moscow, ... See full document
7
An augmented approach for Stokes equations with discontinuous viscosity and singular forces
... with discontinuous viscosity, for example, the first order accurate ghost fluid method ...Navier-Stokes equations is a time dependent problem in which we can use a time marching ... See full document
23
Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order
... Lane-Emden equations may not be solved by standard semi-analytical methods, such as the homotopy perturbation method[17], vari- ational iteration method[7, 8] and Adomian decomposition method[6, ... See full document
8
Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
... In the paper, modified Laplace decomposition method (MLDM) is ap- plied to linear and nonlinear differential equation with initial conditions. The MLDM proposed in this investigation is simple and effective for ... See full document
9
On the stability of linear differential equations of second order
... linear differential equations of first order, ...Gegenbauer differential equations, ...Functional Equations in Mathematical Analysis, Hadronic ... See full document
6
First-order nonlinear differential equations with state-dependent impulses
... Here, in our paper, we present an approach leading to a new existence principle for im- pulsive boundary value problems. This approach is applicable to each linear boundary condition which is considered with some ... See full document
18
On the existence of solutions for a class of first order differential equations
... [6] S. Heikkilä and V. Lakshmikantham, On first order differential equations in ordered Banach spaces, Inequalities and Applications, pp. 293–301 (R.-P. Agarwal, ed.), World Sci. Ser. Appl. Anal., vol. 3, ... See full document
10
Recent Existence Results for Second-Order Singular Periodic Differential Equations
... for singular equation ...the first existence result for ...periodic equations is positive, and therefore the results cannot cover the critical case, for example, when a is a constant, at k 2 , 0 < ... See full document
20
A New Approach In Determining Solution Of The Differential Equations And The First Order Partial Differential Equations
... Non-Homogeneous First Order Differential Equations and formation of the differential equation by eliminating parameter in short ...The first order partial derivatives of z ... See full document
15
Multiple positive solutions for first-order impulsive singular integro-differential equations on the half line in a Banach space
... differential equations in scalar spaces had been extensively studied (see, for example, ...nonlinear singular integro-differential equations of mixed type on the half line in a Banach ...such ... See full document
24
Multiplicity of positive solutions to second-order singular differential equations with a parameter
... However, singular differential equation (.), in which the nonlinearity is dependent on the derivative and does not require f to be nonnegative, has not attracted much attention in the literature. There are not so ... See full document
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