Singular initial value problems
Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method
... In this paper, we presented a reliable modification of the Laplace Decomposition Method (LDM) for solving non linear singular second order initial value problems. The method is used to obtain ...
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On singular nonlinear distributional and impulsive initial and boundary value problems
... Results: New existence results are derived for the smallest and greatest solutions of considered problems. Novel results are derived for the dependence of solutions on the data. The obtained results are applied to ...
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Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory
... As a result, our nonlinearity f ( k , u ) may be singular at u = 0 and may change sign. Remark 1.1. Recall a map f : N × (0, ∞ ) → R is continuous if it is continuous as a map of the topological space N × (0, ∞ ) ...
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Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems
... of singular initial and boundary value ...with initial and boundary conditions into system of algebraic equations by expanding the unknown function as a series of Hermite wavelets with unknown ...
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Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations
... Fang, “On positive solutions of boundary value problems for second-order functional di ff erential equations on infinite intervals,” Journal of Mathematical Analysis and Applications , vo[r] ...
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A Numerical Method for Singular Boundary Value Problems
... y . It is then possible to formulate a two-step iterative formulation. First, using the given boundary conditions, an initial value can be assigned to the unknown function, i.e. y j , j = 1, , n . ...
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Existential and Uniqueness Results for Initial Value Problems associated with Non-linear Singular Interface Problems on Time Scales using Fixed Point Theorems
... nonlinear singular interface problems on Time ...nonlinear singular interface problems using the classical fixed point theorems of Banach and ...
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A Computer based Numerical Method for Singular Boundary Value Problems
... including singular boundary value problems and perturbation ...of initial value problems in ordinary differential ...boundary value problem of order two using cubic ...
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Singular Cauchy Initial Value Problem for Certain Classes of Integro Differential Equations
... The singular Cauchy problem for first-order differential and integro-differential equations resolved or unresolved with respect to the derivatives of unknowns is fairly well studied see, ...the singular ...
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Picard iterative processes for initial value problems of singular fractional differential equations
... the initial value problems of fractional differential equations are discussed and new criteria on local existence and uniqueness of solutions are ...the problems, but we also establish ...
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An Application of Differential Transform Method in Singular Perturbation Problems
... nonlinear initial value problems in electrical circuit ...of singular perturbation ...stiff initial value singular perturbation ...
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THE EXISTENCE OF A SOLUTION FOR SEMI-LINEAR ABSTRACT DIFFERENTIAL EQUATIONS WITH INFINITE $B-$CHAINS OF THE CHARACTERISTIC SHEAF
... Abstract: Initial-value problems for a semi-linear differential operator equa- tions with singular linear part are considered. The existence of the infinite B−chains for the characteristic ...
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On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics
... Working within the framework of the linearized dynamical theory of thermoelasticity, Dafermos [9 J established the existence, uniqueness and asymptotic stability of "generalized solution[r] ...
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Positive Solutions of Singular Complementary Lidstone Boundary Value Problems
... 12 I. Rach ˚unkov´a, S. Stanˇek, and M. Tvrd ´y, “Singularities and Laplacians in boundary value problems for nonlinear ordinary differential equations,” in Handbook of Differential Equations: Ordinary ...
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Boundary value problems with regular singularities and singular boundary conditions
... It is natural and convenient to normalize the boundary conditions (2.17) (compare the similar procedure in [13] for classical boundary value problems without singularities). This normalization procedure ...
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Optimizing Time Spectral Solution of Initial Value Problems
... Three initial-value PDEs are employed as model problems; the 1D Burger equation, a forced 1D wave equation and a coupled system of 14 linea- rized ideal magnetohydrodynamic (MHD) ...
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Solving Initial Value Problems by Flower Pollination Algorithm
... Among most recent, bio-inspired algorithms, flower pollination algorithm (FPA), has demonstrated very good efficiency in solving both single objective optimization and multi-objective optimization problems. This ...
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Stability and boundedness in the numerical solution of initial value problems
... The above Statement (I) will be proved in Section 4. Statement (II) follows immediately from Statement (I) and the close connection between condition (1.7) and conditions (1.12), (1.9). This connection was observed by ...
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Positive solutions for singular boundary value problems involving integral conditions
... boundary value problems have been extensively considered in a lot of literature [, , , ], since they model many physical phenomena including gas diffusion through porous media, nonlinear diffusion ...
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Positive solutions for nonlinear singular boundary value problems on the half line
... equation problems that approximate the problem of ...approximate problems is somewhat delicate as is the process of establishing that the solutions to the approximate problems ...
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